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Finding the Fourth Proportional to 381,952.92, 571,846.72 and 317,392.68

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Solution

The fourth proportional to 381,952.92, 571,846.72 and 317,392.68 is: 475,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,952.92 : 571,846.72 = 317,392.68 : x
  2. Step 2: Convert to fraction form
    381,952.92/571,846.72 = 317,392.68/x
  3. Step 3: Cross multiply
    381,952.92x = 571,846.72 × 317,392.68
  4. Step 4: Simplify right side
    381,952.92x = 181,499,963,010.01
  5. Step 5: Solve for x
    x = 181,499,963,010.01/381,952.92
  6. Step 6: Final answer
    x = 475,189.36

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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.