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Finding the Fourth Proportional to 502,745.16, 754,117.92 and 147,759.24

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Solution

The fourth proportional to 502,745.16, 754,117.92 and 147,759.24 is: 221,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,745.16 : 754,117.92 = 147,759.24 : x
  2. Step 2: Convert to fraction form
    502,745.16/754,117.92 = 147,759.24/x
  3. Step 3: Cross multiply
    502,745.16x = 754,117.92 × 147,759.24
  4. Step 4: Simplify right side
    502,745.16x = 111,427,890,729.58
  5. Step 5: Solve for x
    x = 111,427,890,729.58/502,745.16
  6. Step 6: Final answer
    x = 221,638.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.