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Finding the Fourth Proportional to 359,254.20, 538,217.10 and 209,566.20

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Solution

The fourth proportional to 359,254.20, 538,217.10 and 209,566.20 is: 313,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,254.20 : 538,217.10 = 209,566.20 : x
  2. Step 2: Convert to fraction form
    359,254.20/538,217.10 = 209,566.20/x
  3. Step 3: Cross multiply
    359,254.20x = 538,217.10 × 209,566.20
  4. Step 4: Simplify right side
    359,254.20x = 112,792,112,422.02
  5. Step 5: Solve for x
    x = 112,792,112,422.02/359,254.20
  6. Step 6: Final answer
    x = 313,961.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.