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Finding the Fourth Proportional to 514,027, 709,731.42 and 412,610.32

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Solution

The fourth proportional to 514,027, 709,731.42 and 412,610.32 is: 569,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,027 : 709,731.42 = 412,610.32 : x
  2. Step 2: Convert to fraction form
    514,027/709,731.42 = 412,610.32/x
  3. Step 3: Cross multiply
    514,027x = 709,731.42 × 412,610.32
  4. Step 4: Simplify right side
    514,027x = 292,842,508,320.25
  5. Step 5: Solve for x
    x = 292,842,508,320.25/514,027
  6. Step 6: Final answer
    x = 569,702.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.