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Finding the Fourth Proportional to 462,958.65, 694,366.35 and 178,607.73

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Solution

The fourth proportional to 462,958.65, 694,366.35 and 178,607.73 is: 267,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,958.65 : 694,366.35 = 178,607.73 : x
  2. Step 2: Convert to fraction form
    462,958.65/694,366.35 = 178,607.73/x
  3. Step 3: Cross multiply
    462,958.65x = 694,366.35 × 178,607.73
  4. Step 4: Simplify right side
    462,958.65x = 124,019,199,998.32
  5. Step 5: Solve for x
    x = 124,019,199,998.32/462,958.65
  6. Step 6: Final answer
    x = 267,883.96

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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.