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Finding the Fourth Proportional to 463,206.90, 694,866.38 and 163,626.17

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Solution

The fourth proportional to 463,206.90, 694,866.38 and 163,626.17 is: 245,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,206.90 : 694,866.38 = 163,626.17 : x
  2. Step 2: Convert to fraction form
    463,206.90/694,866.38 = 163,626.17/x
  3. Step 3: Cross multiply
    463,206.90x = 694,866.38 × 163,626.17
  4. Step 4: Simplify right side
    463,206.90x = 113,698,320,946.83
  5. Step 5: Solve for x
    x = 113,698,320,946.83/463,206.90
  6. Step 6: Final answer
    x = 245,459.04

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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.