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Finding the Fourth Proportional to 568,390.38, 784,358.88 and 338,829.20

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Solution

The fourth proportional to 568,390.38, 784,358.88 and 338,829.20 is: 467,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,390.38 : 784,358.88 = 338,829.20 : x
  2. Step 2: Convert to fraction form
    568,390.38/784,358.88 = 338,829.20/x
  3. Step 3: Cross multiply
    568,390.38x = 784,358.88 × 338,829.20
  4. Step 4: Simplify right side
    568,390.38x = 265,763,687,901.50
  5. Step 5: Solve for x
    x = 265,763,687,901.50/568,390.38
  6. Step 6: Final answer
    x = 467,572.46

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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.