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Finding the Fourth Proportional to 458,117.20, 632,180.31 and 254,165.95

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Solution

The fourth proportional to 458,117.20, 632,180.31 and 254,165.95 is: 350,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,117.20 : 632,180.31 = 254,165.95 : x
  2. Step 2: Convert to fraction form
    458,117.20/632,180.31 = 254,165.95/x
  3. Step 3: Cross multiply
    458,117.20x = 632,180.31 × 254,165.95
  4. Step 4: Simplify right side
    458,117.20x = 160,678,705,901.54
  5. Step 5: Solve for x
    x = 160,678,705,901.54/458,117.20
  6. Step 6: Final answer
    x = 350,737.12

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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.