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Finding the Fourth Proportional to 564,700.56, 778,992.84 and 457,391.76

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Solution

The fourth proportional to 564,700.56, 778,992.84 and 457,391.76 is: 630,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,700.56 : 778,992.84 = 457,391.76 : x
  2. Step 2: Convert to fraction form
    564,700.56/778,992.84 = 457,391.76/x
  3. Step 3: Cross multiply
    564,700.56x = 778,992.84 × 457,391.76
  4. Step 4: Simplify right side
    564,700.56x = 356,304,906,115.00
  5. Step 5: Solve for x
    x = 356,304,906,115.00/564,700.56
  6. Step 6: Final answer
    x = 630,962.55

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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.