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Finding the Fourth Proportional to 413,901.88, 571,231.96 and 230,158.79

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Solution

The fourth proportional to 413,901.88, 571,231.96 and 230,158.79 is: 317,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,901.88 : 571,231.96 = 230,158.79 : x
  2. Step 2: Convert to fraction form
    413,901.88/571,231.96 = 230,158.79/x
  3. Step 3: Cross multiply
    413,901.88x = 571,231.96 × 230,158.79
  4. Step 4: Simplify right side
    413,901.88x = 131,474,057,575.61
  5. Step 5: Solve for x
    x = 131,474,057,575.61/413,901.88
  6. Step 6: Final answer
    x = 317,645.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.