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Finding the Fourth Proportional to 752,051, 1,037,830.38 and 412,520.04

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Solution

The fourth proportional to 752,051, 1,037,830.38 and 412,520.04 is: 569,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,051 : 1,037,830.38 = 412,520.04 : x
  2. Step 2: Convert to fraction form
    752,051/1,037,830.38 = 412,520.04/x
  3. Step 3: Cross multiply
    752,051x = 1,037,830.38 × 412,520.04
  4. Step 4: Simplify right side
    752,051x = 428,125,829,870.82
  5. Step 5: Solve for x
    x = 428,125,829,870.82/752,051
  6. Step 6: Final answer
    x = 569,277.66

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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.