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Finding the Fourth Proportional to 462,854.87, 694,282.32 and 196,428.55

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Solution

The fourth proportional to 462,854.87, 694,282.32 and 196,428.55 is: 294,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,854.87 : 694,282.32 = 196,428.55 : x
  2. Step 2: Convert to fraction form
    462,854.87/694,282.32 = 196,428.55/x
  3. Step 3: Cross multiply
    462,854.87x = 694,282.32 × 196,428.55
  4. Step 4: Simplify right side
    462,854.87x = 136,376,869,408.24
  5. Step 5: Solve for x
    x = 136,376,869,408.24/462,854.87
  6. Step 6: Final answer
    x = 294,642.83

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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.