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Finding the Fourth Proportional to 323,047.12, 484,037.28 and 187,731.28

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Solution

The fourth proportional to 323,047.12, 484,037.28 and 187,731.28 is: 281,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,047.12 : 484,037.28 = 187,731.28 : x
  2. Step 2: Convert to fraction form
    323,047.12/484,037.28 = 187,731.28/x
  3. Step 3: Cross multiply
    323,047.12x = 484,037.28 × 187,731.28
  4. Step 4: Simplify right side
    323,047.12x = 90,868,938,142.12
  5. Step 5: Solve for x
    x = 90,868,938,142.12/323,047.12
  6. Step 6: Final answer
    x = 281,286.95

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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.