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Finding the Fourth Proportional to 464,753.60, 696,920.12 and 165,242.16

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Solution

The fourth proportional to 464,753.60, 696,920.12 and 165,242.16 is: 247,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,753.60 : 696,920.12 = 165,242.16 : x
  2. Step 2: Convert to fraction form
    464,753.60/696,920.12 = 165,242.16/x
  3. Step 3: Cross multiply
    464,753.60x = 696,920.12 × 165,242.16
  4. Step 4: Simplify right side
    464,753.60x = 115,160,585,769.71
  5. Step 5: Solve for x
    x = 115,160,585,769.71/464,753.60
  6. Step 6: Final answer
    x = 247,788.48

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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.