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Finding the Fourth Proportional to 499,107.54, 748,551 and 144,044.30

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Solution

The fourth proportional to 499,107.54, 748,551 and 144,044.30 is: 216,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,107.54 : 748,551 = 144,044.30 : x
  2. Step 2: Convert to fraction form
    499,107.54/748,551 = 144,044.30/x
  3. Step 3: Cross multiply
    499,107.54x = 748,551 × 144,044.30
  4. Step 4: Simplify right side
    499,107.54x = 107,824,504,809.30
  5. Step 5: Solve for x
    x = 107,824,504,809.30/499,107.54
  6. Step 6: Final answer
    x = 216,034.61

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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.