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Finding the Fourth Proportional to 463,209.90, 694,870.88 and 163,629.17

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Solution

The fourth proportional to 463,209.90, 694,870.88 and 163,629.17 is: 245,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,209.90 : 694,870.88 = 163,629.17 : x
  2. Step 2: Convert to fraction form
    463,209.90/694,870.88 = 163,629.17/x
  3. Step 3: Cross multiply
    463,209.90x = 694,870.88 × 163,629.17
  4. Step 4: Simplify right side
    463,209.90x = 113,701,145,351.57
  5. Step 5: Solve for x
    x = 113,701,145,351.57/463,209.90
  6. Step 6: Final answer
    x = 245,463.55

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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.