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Finding the Fourth Proportional to 468,643.40, 702,965.10 and 343,305.80

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Solution

The fourth proportional to 468,643.40, 702,965.10 and 343,305.80 is: 514,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643.40 : 702,965.10 = 343,305.80 : x
  2. Step 2: Convert to fraction form
    468,643.40/702,965.10 = 343,305.80/x
  3. Step 3: Cross multiply
    468,643.40x = 702,965.10 × 343,305.80
  4. Step 4: Simplify right side
    468,643.40x = 241,331,996,027.58
  5. Step 5: Solve for x
    x = 241,331,996,027.58/468,643.40
  6. Step 6: Final answer
    x = 514,958.70

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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.