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Finding the Fourth Proportional to 465,630.57, 698,574.78 and 185,344.65

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Solution

The fourth proportional to 465,630.57, 698,574.78 and 185,344.65 is: 278,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,630.57 : 698,574.78 = 185,344.65 : x
  2. Step 2: Convert to fraction form
    465,630.57/698,574.78 = 185,344.65/x
  3. Step 3: Cross multiply
    465,630.57x = 698,574.78 × 185,344.65
  4. Step 4: Simplify right side
    465,630.57x = 129,477,098,097.93
  5. Step 5: Solve for x
    x = 129,477,098,097.93/465,630.57
  6. Step 6: Final answer
    x = 278,068.29

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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.