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Finding the Fourth Proportional to 537,132.10, 804,726.15 and 256,029.70

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Solution

The fourth proportional to 537,132.10, 804,726.15 and 256,029.70 is: 383,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,132.10 : 804,726.15 = 256,029.70 : x
  2. Step 2: Convert to fraction form
    537,132.10/804,726.15 = 256,029.70/x
  3. Step 3: Cross multiply
    537,132.10x = 804,726.15 × 256,029.70
  4. Step 4: Simplify right side
    537,132.10x = 206,033,794,766.66
  5. Step 5: Solve for x
    x = 206,033,794,766.66/537,132.10
  6. Step 6: Final answer
    x = 383,581.24

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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.