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Finding the Fourth Proportional to 514,331.70, 771,497.55 and 214,712.70

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Solution

The fourth proportional to 514,331.70, 771,497.55 and 214,712.70 is: 322,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,331.70 : 771,497.55 = 214,712.70 : x
  2. Step 2: Convert to fraction form
    514,331.70/771,497.55 = 214,712.70/x
  3. Step 3: Cross multiply
    514,331.70x = 771,497.55 × 214,712.70
  4. Step 4: Simplify right side
    514,331.70x = 165,650,322,003.89
  5. Step 5: Solve for x
    x = 165,650,322,003.89/514,331.70
  6. Step 6: Final answer
    x = 322,069.05

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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.