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Finding the Fourth Proportional to 359,042.24, 495,449.16 and 208,148.96

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Solution

The fourth proportional to 359,042.24, 495,449.16 and 208,148.96 is: 287,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,042.24 : 495,449.16 = 208,148.96 : x
  2. Step 2: Convert to fraction form
    359,042.24/495,449.16 = 208,148.96/x
  3. Step 3: Cross multiply
    359,042.24x = 495,449.16 × 208,148.96
  4. Step 4: Simplify right side
    359,042.24x = 103,127,227,386.87
  5. Step 5: Solve for x
    x = 103,127,227,386.87/359,042.24
  6. Step 6: Final answer
    x = 287,228.68

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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.