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Finding the Fourth Proportional to 514,010.61, 709,708.84 and 412,593.95

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Solution

The fourth proportional to 514,010.61, 709,708.84 and 412,593.95 is: 569,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,010.61 : 709,708.84 = 412,593.95 : x
  2. Step 2: Convert to fraction form
    514,010.61/709,708.84 = 412,593.95/x
  3. Step 3: Cross multiply
    514,010.61x = 709,708.84 × 412,593.95
  4. Step 4: Simplify right side
    514,010.61x = 292,821,574,388.31
  5. Step 5: Solve for x
    x = 292,821,574,388.31/514,010.61
  6. Step 6: Final answer
    x = 569,680.02

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