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Finding the Fourth Proportional to 359,255.20, 538,218.60 and 209,567.20

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Solution

The fourth proportional to 359,255.20, 538,218.60 and 209,567.20 is: 313,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,255.20 : 538,218.60 = 209,567.20 : x
  2. Step 2: Convert to fraction form
    359,255.20/538,218.60 = 209,567.20/x
  3. Step 3: Cross multiply
    359,255.20x = 538,218.60 × 209,567.20
  4. Step 4: Simplify right side
    359,255.20x = 112,792,964,989.92
  5. Step 5: Solve for x
    x = 112,792,964,989.92/359,255.20
  6. Step 6: Final answer
    x = 313,963.35

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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.