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Finding the Fourth Proportional to 472,033.20, 707,951.40 and 172,654.80

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Solution

The fourth proportional to 472,033.20, 707,951.40 and 172,654.80 is: 258,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,033.20 : 707,951.40 = 172,654.80 : x
  2. Step 2: Convert to fraction form
    472,033.20/707,951.40 = 172,654.80/x
  3. Step 3: Cross multiply
    472,033.20x = 707,951.40 × 172,654.80
  4. Step 4: Simplify right side
    472,033.20x = 122,231,207,376.72
  5. Step 5: Solve for x
    x = 122,231,207,376.72/472,033.20
  6. Step 6: Final answer
    x = 258,946.21

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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.