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Finding the Fourth Proportional to 752,099.13, 1,037,897 and 412,567.38

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Solution

The fourth proportional to 752,099.13, 1,037,897 and 412,567.38 is: 569,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,099.13 : 1,037,897 = 412,567.38 : x
  2. Step 2: Convert to fraction form
    752,099.13/1,037,897 = 412,567.38/x
  3. Step 3: Cross multiply
    752,099.13x = 1,037,897 × 412,567.38
  4. Step 4: Simplify right side
    752,099.13x = 428,202,445,999.86
  5. Step 5: Solve for x
    x = 428,202,445,999.86/752,099.13
  6. Step 6: Final answer
    x = 569,343.09

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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.