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Finding the Fourth Proportional to 359,419.20, 495,980.82 and 216,151.44

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Solution

The fourth proportional to 359,419.20, 495,980.82 and 216,151.44 is: 298,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,419.20 : 495,980.82 = 216,151.44 : x
  2. Step 2: Convert to fraction form
    359,419.20/495,980.82 = 216,151.44/x
  3. Step 3: Cross multiply
    359,419.20x = 495,980.82 × 216,151.44
  4. Step 4: Simplify right side
    359,419.20x = 107,206,968,455.38
  5. Step 5: Solve for x
    x = 107,206,968,455.38/359,419.20
  6. Step 6: Final answer
    x = 298,278.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.