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Finding the Fourth Proportional to 359,346.24, 495,789.12 and 208,414.08

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Solution

The fourth proportional to 359,346.24, 495,789.12 and 208,414.08 is: 287,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,346.24 : 495,789.12 = 208,414.08 : x
  2. Step 2: Convert to fraction form
    359,346.24/495,789.12 = 208,414.08/x
  3. Step 3: Cross multiply
    359,346.24x = 495,789.12 × 208,414.08
  4. Step 4: Simplify right side
    359,346.24x = 103,329,433,318.81
  5. Step 5: Solve for x
    x = 103,329,433,318.81/359,346.24
  6. Step 6: Final answer
    x = 287,548.39

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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.