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Finding the Fourth Proportional to 359,265.20, 538,233.60 and 209,577.20

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Solution

The fourth proportional to 359,265.20, 538,233.60 and 209,577.20 is: 313,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,265.20 : 538,233.60 = 209,577.20 : x
  2. Step 2: Convert to fraction form
    359,265.20/538,233.60 = 209,577.20/x
  3. Step 3: Cross multiply
    359,265.20x = 538,233.60 × 209,577.20
  4. Step 4: Simplify right side
    359,265.20x = 112,801,490,833.92
  5. Step 5: Solve for x
    x = 112,801,490,833.92/359,265.20
  6. Step 6: Final answer
    x = 313,978.34

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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.