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Finding the Fourth Proportional to 359,213.80, 538,475.10 and 279,207.40

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Solution

The fourth proportional to 359,213.80, 538,475.10 and 279,207.40 is: 418,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,213.80 : 538,475.10 = 279,207.40 : x
  2. Step 2: Convert to fraction form
    359,213.80/538,475.10 = 279,207.40/x
  3. Step 3: Cross multiply
    359,213.80x = 538,475.10 × 279,207.40
  4. Step 4: Simplify right side
    359,213.80x = 150,346,232,635.74
  5. Step 5: Solve for x
    x = 150,346,232,635.74/359,213.80
  6. Step 6: Final answer
    x = 418,542.47

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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.