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Finding the Fourth Proportional to 309,052.64, 463,591.30 and 95,842.69

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Solution

The fourth proportional to 309,052.64, 463,591.30 and 95,842.69 is: 143,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,052.64 : 463,591.30 = 95,842.69 : x
  2. Step 2: Convert to fraction form
    309,052.64/463,591.30 = 95,842.69/x
  3. Step 3: Cross multiply
    309,052.64x = 463,591.30 × 95,842.69
  4. Step 4: Simplify right side
    309,052.64x = 44,431,838,641.42
  5. Step 5: Solve for x
    x = 44,431,838,641.42/309,052.64
  6. Step 6: Final answer
    x = 143,767.87

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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.