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Finding the Fourth Proportional to 417,654.62, 576,065.55 and 383,310.01

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Solution

The fourth proportional to 417,654.62, 576,065.55 and 383,310.01 is: 528,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,654.62 : 576,065.55 = 383,310.01 : x
  2. Step 2: Convert to fraction form
    417,654.62/576,065.55 = 383,310.01/x
  3. Step 3: Cross multiply
    417,654.62x = 576,065.55 × 383,310.01
  4. Step 4: Simplify right side
    417,654.62x = 220,811,691,731.16
  5. Step 5: Solve for x
    x = 220,811,691,731.16/417,654.62
  6. Step 6: Final answer
    x = 528,694.48

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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.