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Finding the Fourth Proportional to 458,470.90, 687,706.35 and 142,925.30

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Solution

The fourth proportional to 458,470.90, 687,706.35 and 142,925.30 is: 214,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,470.90 : 687,706.35 = 142,925.30 : x
  2. Step 2: Convert to fraction form
    458,470.90/687,706.35 = 142,925.30/x
  3. Step 3: Cross multiply
    458,470.90x = 687,706.35 × 142,925.30
  4. Step 4: Simplify right side
    458,470.90x = 98,290,636,385.66
  5. Step 5: Solve for x
    x = 98,290,636,385.66/458,470.90
  6. Step 6: Final answer
    x = 214,387.95

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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.