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Finding the Fourth Proportional to 534,793.10, 802,189.65 and 429,817.10

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Solution

The fourth proportional to 534,793.10, 802,189.65 and 429,817.10 is: 644,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,793.10 : 802,189.65 = 429,817.10 : x
  2. Step 2: Convert to fraction form
    534,793.10/802,189.65 = 429,817.10/x
  3. Step 3: Cross multiply
    534,793.10x = 802,189.65 × 429,817.10
  4. Step 4: Simplify right side
    534,793.10x = 344,794,829,013.02
  5. Step 5: Solve for x
    x = 344,794,829,013.02/534,793.10
  6. Step 6: Final answer
    x = 644,725.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.