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Finding the Fourth Proportional to 472,580.52, 709,199.08 and 192,098.04

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Solution

The fourth proportional to 472,580.52, 709,199.08 and 192,098.04 is: 288,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,580.52 : 709,199.08 = 192,098.04 : x
  2. Step 2: Convert to fraction form
    472,580.52/709,199.08 = 192,098.04/x
  3. Step 3: Cross multiply
    472,580.52x = 709,199.08 × 192,098.04
  4. Step 4: Simplify right side
    472,580.52x = 136,235,753,237.80
  5. Step 5: Solve for x
    x = 136,235,753,237.80/472,580.52
  6. Step 6: Final answer
    x = 288,280.51

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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.