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Finding the Fourth Proportional to 417,493.76, 626,154.50 and 204,042.56

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Solution

The fourth proportional to 417,493.76, 626,154.50 and 204,042.56 is: 306,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,493.76 : 626,154.50 = 204,042.56 : x
  2. Step 2: Convert to fraction form
    417,493.76/626,154.50 = 204,042.56/x
  3. Step 3: Cross multiply
    417,493.76x = 626,154.50 × 204,042.56
  4. Step 4: Simplify right side
    417,493.76x = 127,762,164,514.85
  5. Step 5: Solve for x
    x = 127,762,164,514.85/417,493.76
  6. Step 6: Final answer
    x = 306,021.74

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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.