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Finding the Fourth Proportional to 752,068, 1,037,853.90 and 412,537.12

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Solution

The fourth proportional to 752,068, 1,037,853.90 and 412,537.12 is: 569,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,068 : 1,037,853.90 = 412,537.12 : x
  2. Step 2: Convert to fraction form
    752,068/1,037,853.90 = 412,537.12/x
  3. Step 3: Cross multiply
    752,068x = 1,037,853.90 × 412,537.12
  4. Step 4: Simplify right side
    752,068x = 428,153,258,886.77
  5. Step 5: Solve for x
    x = 428,153,258,886.77/752,068
  6. Step 6: Final answer
    x = 569,301.26

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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.