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Finding the Fourth Proportional to 509,265.30, 763,977.20 and 154,194.78

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Solution

The fourth proportional to 509,265.30, 763,977.20 and 154,194.78 is: 231,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,265.30 : 763,977.20 = 154,194.78 : x
  2. Step 2: Convert to fraction form
    509,265.30/763,977.20 = 154,194.78/x
  3. Step 3: Cross multiply
    509,265.30x = 763,977.20 × 154,194.78
  4. Step 4: Simplify right side
    509,265.30x = 117,801,295,508.04
  5. Step 5: Solve for x
    x = 117,801,295,508.04/509,265.30
  6. Step 6: Final answer
    x = 231,316.16

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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.