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Finding the Fourth Proportional to 534,732.60, 802,214.10 and 160,793.40

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Solution

The fourth proportional to 534,732.60, 802,214.10 and 160,793.40 is: 241,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,732.60 : 802,214.10 = 160,793.40 : x
  2. Step 2: Convert to fraction form
    534,732.60/802,214.10 = 160,793.40/x
  3. Step 3: Cross multiply
    534,732.60x = 802,214.10 × 160,793.40
  4. Step 4: Simplify right side
    534,732.60x = 128,990,732,666.94
  5. Step 5: Solve for x
    x = 128,990,732,666.94/534,732.60
  6. Step 6: Final answer
    x = 241,224.74

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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.