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Finding the Fourth Proportional to 487,049.40, 730,055.70 and 187,414.20

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Solution

The fourth proportional to 487,049.40, 730,055.70 and 187,414.20 is: 280,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,049.40 : 730,055.70 = 187,414.20 : x
  2. Step 2: Convert to fraction form
    487,049.40/730,055.70 = 187,414.20/x
  3. Step 3: Cross multiply
    487,049.40x = 730,055.70 × 187,414.20
  4. Step 4: Simplify right side
    487,049.40x = 136,822,804,970.94
  5. Step 5: Solve for x
    x = 136,822,804,970.94/487,049.40
  6. Step 6: Final answer
    x = 280,921.82

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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.