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Finding the Fourth Proportional to 486,107.46, 728,668.98 and 233,017.02

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Solution

The fourth proportional to 486,107.46, 728,668.98 and 233,017.02 is: 349,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,107.46 : 728,668.98 = 233,017.02 : x
  2. Step 2: Convert to fraction form
    486,107.46/728,668.98 = 233,017.02/x
  3. Step 3: Cross multiply
    486,107.46x = 728,668.98 × 233,017.02
  4. Step 4: Simplify right side
    486,107.46x = 169,792,274,286.04
  5. Step 5: Solve for x
    x = 169,792,274,286.04/486,107.46
  6. Step 6: Final answer
    x = 349,289.59

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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.