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Finding the Fourth Proportional to 752,050, 1,037,829 and 412,519.04

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Solution

The fourth proportional to 752,050, 1,037,829 and 412,519.04 is: 569,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,050 : 1,037,829 = 412,519.04 : x
  2. Step 2: Convert to fraction form
    752,050/1,037,829 = 412,519.04/x
  3. Step 3: Cross multiply
    752,050x = 1,037,829 × 412,519.04
  4. Step 4: Simplify right side
    752,050x = 428,124,222,764.16
  5. Step 5: Solve for x
    x = 428,124,222,764.16/752,050
  6. Step 6: Final answer
    x = 569,276.28

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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.