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Finding the Fourth Proportional to 468,262.74, 646,197.30 and 253,398.90

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Solution

The fourth proportional to 468,262.74, 646,197.30 and 253,398.90 is: 349,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,262.74 : 646,197.30 = 253,398.90 : x
  2. Step 2: Convert to fraction form
    468,262.74/646,197.30 = 253,398.90/x
  3. Step 3: Cross multiply
    468,262.74x = 646,197.30 × 253,398.90
  4. Step 4: Simplify right side
    468,262.74x = 163,745,685,002.97
  5. Step 5: Solve for x
    x = 163,745,685,002.97/468,262.74
  6. Step 6: Final answer
    x = 349,687.62

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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.