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Finding the Fourth Proportional to 309,251.57, 463,949.95 and 96,008.59

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Solution

The fourth proportional to 309,251.57, 463,949.95 and 96,008.59 is: 144,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,251.57 : 463,949.95 = 96,008.59 : x
  2. Step 2: Convert to fraction form
    309,251.57/463,949.95 = 96,008.59/x
  3. Step 3: Cross multiply
    309,251.57x = 463,949.95 × 96,008.59
  4. Step 4: Simplify right side
    309,251.57x = 44,543,181,320.03
  5. Step 5: Solve for x
    x = 44,543,181,320.03/309,251.57
  6. Step 6: Final answer
    x = 144,035.42

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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.