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Finding the Fourth Proportional to 475,209.38, 712,754.61 and 155,334.48

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Solution

The fourth proportional to 475,209.38, 712,754.61 and 155,334.48 is: 232,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,209.38 : 712,754.61 = 155,334.48 : x
  2. Step 2: Convert to fraction form
    475,209.38/712,754.61 = 155,334.48/x
  3. Step 3: Cross multiply
    475,209.38x = 712,754.61 × 155,334.48
  4. Step 4: Simplify right side
    475,209.38x = 110,715,363,456.62
  5. Step 5: Solve for x
    x = 110,715,363,456.62/475,209.38
  6. Step 6: Final answer
    x = 232,982.28

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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.