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Finding the Fourth Proportional to 514,969.40, 772,454.10 and 493,974.20

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Solution

The fourth proportional to 514,969.40, 772,454.10 and 493,974.20 is: 740,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,969.40 : 772,454.10 = 493,974.20 : x
  2. Step 2: Convert to fraction form
    514,969.40/772,454.10 = 493,974.20/x
  3. Step 3: Cross multiply
    514,969.40x = 772,454.10 × 493,974.20
  4. Step 4: Simplify right side
    514,969.40x = 381,572,396,084.22
  5. Step 5: Solve for x
    x = 381,572,396,084.22/514,969.40
  6. Step 6: Final answer
    x = 740,961.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.