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Finding the Fourth Proportional to 308,874.47, 463,264.11 and 84,253.16

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Solution

The fourth proportional to 308,874.47, 463,264.11 and 84,253.16 is: 126,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,874.47 : 463,264.11 = 84,253.16 : x
  2. Step 2: Convert to fraction form
    308,874.47/463,264.11 = 84,253.16/x
  3. Step 3: Cross multiply
    308,874.47x = 463,264.11 × 84,253.16
  4. Step 4: Simplify right side
    308,874.47x = 39,031,466,340.25
  5. Step 5: Solve for x
    x = 39,031,466,340.25/308,874.47
  6. Step 6: Final answer
    x = 126,366.76

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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.