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Finding the Fourth Proportional to 534,802.60, 802,319.10 and 160,863.40

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Solution

The fourth proportional to 534,802.60, 802,319.10 and 160,863.40 is: 241,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,802.60 : 802,319.10 = 160,863.40 : x
  2. Step 2: Convert to fraction form
    534,802.60/802,319.10 = 160,863.40/x
  3. Step 3: Cross multiply
    534,802.60x = 802,319.10 × 160,863.40
  4. Step 4: Simplify right side
    534,802.60x = 129,063,778,310.94
  5. Step 5: Solve for x
    x = 129,063,778,310.94/534,802.60
  6. Step 6: Final answer
    x = 241,329.75

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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.