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Finding the Fourth Proportional to 313,001.64, 468,701.10 and 172,604.52

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Solution

The fourth proportional to 313,001.64, 468,701.10 and 172,604.52 is: 258,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,001.64 : 468,701.10 = 172,604.52 : x
  2. Step 2: Convert to fraction form
    313,001.64/468,701.10 = 172,604.52/x
  3. Step 3: Cross multiply
    313,001.64x = 468,701.10 × 172,604.52
  4. Step 4: Simplify right side
    313,001.64x = 80,899,928,388.97
  5. Step 5: Solve for x
    x = 80,899,928,388.97/313,001.64
  6. Step 6: Final answer
    x = 258,464.87

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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.