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Finding the Fourth Proportional to 534,838.60, 802,257.90 and 429,862.60

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Solution

The fourth proportional to 534,838.60, 802,257.90 and 429,862.60 is: 644,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,838.60 : 802,257.90 = 429,862.60 : x
  2. Step 2: Convert to fraction form
    534,838.60/802,257.90 = 429,862.60/x
  3. Step 3: Cross multiply
    534,838.60x = 802,257.90 × 429,862.60
  4. Step 4: Simplify right side
    534,838.60x = 344,860,666,764.54
  5. Step 5: Solve for x
    x = 344,860,666,764.54/534,838.60
  6. Step 6: Final answer
    x = 644,793.90

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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.