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Finding the Fourth Proportional to 484,097.14, 726,250.17 and 147,164.92

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Solution

The fourth proportional to 484,097.14, 726,250.17 and 147,164.92 is: 220,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,097.14 : 726,250.17 = 147,164.92 : x
  2. Step 2: Convert to fraction form
    484,097.14/726,250.17 = 147,164.92/x
  3. Step 3: Cross multiply
    484,097.14x = 726,250.17 × 147,164.92
  4. Step 4: Simplify right side
    484,097.14x = 106,878,548,168.04
  5. Step 5: Solve for x
    x = 106,878,548,168.04/484,097.14
  6. Step 6: Final answer
    x = 220,779.14

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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.