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Finding the Fourth Proportional to 534,781.60, 802,287.60 and 160,842.40

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Solution

The fourth proportional to 534,781.60, 802,287.60 and 160,842.40 is: 241,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,781.60 : 802,287.60 = 160,842.40 : x
  2. Step 2: Convert to fraction form
    534,781.60/802,287.60 = 160,842.40/x
  3. Step 3: Cross multiply
    534,781.60x = 802,287.60 × 160,842.40
  4. Step 4: Simplify right side
    534,781.60x = 129,041,863,074.24
  5. Step 5: Solve for x
    x = 129,041,863,074.24/534,781.60
  6. Step 6: Final answer
    x = 241,298.25

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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.