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Finding the Fourth Proportional to 752,060, 1,037,842.80 and 412,529.04

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Solution

The fourth proportional to 752,060, 1,037,842.80 and 412,529.04 is: 569,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,060 : 1,037,842.80 = 412,529.04 : x
  2. Step 2: Convert to fraction form
    752,060/1,037,842.80 = 412,529.04/x
  3. Step 3: Cross multiply
    752,060x = 1,037,842.80 × 412,529.04
  4. Step 4: Simplify right side
    752,060x = 428,140,293,954.91
  5. Step 5: Solve for x
    x = 428,140,293,954.91/752,060
  6. Step 6: Final answer
    x = 569,290.08

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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.