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Finding the Fourth Proportional to 359,327.40, 538,947.90 and 148,943.40

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Solution

The fourth proportional to 359,327.40, 538,947.90 and 148,943.40 is: 223,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,327.40 : 538,947.90 = 148,943.40 : x
  2. Step 2: Convert to fraction form
    359,327.40/538,947.90 = 148,943.40/x
  3. Step 3: Cross multiply
    359,327.40x = 538,947.90 × 148,943.40
  4. Step 4: Simplify right side
    359,327.40x = 80,272,732,648.86
  5. Step 5: Solve for x
    x = 80,272,732,648.86/359,327.40
  6. Step 6: Final answer
    x = 223,397.19

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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.