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Finding the Fourth Proportional to 567,138.48, 849,306.92 and 422,698

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Solution

The fourth proportional to 567,138.48, 849,306.92 and 422,698 is: 633,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,138.48 : 849,306.92 = 422,698 : x
  2. Step 2: Convert to fraction form
    567,138.48/849,306.92 = 422,698/x
  3. Step 3: Cross multiply
    567,138.48x = 849,306.92 × 422,698
  4. Step 4: Simplify right side
    567,138.48x = 359,000,336,470.16
  5. Step 5: Solve for x
    x = 359,000,336,470.16/567,138.48
  6. Step 6: Final answer
    x = 633,002.96

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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.