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Finding the Fourth Proportional to 304,562.38, 456,834.06 and 144,753.36

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Solution

The fourth proportional to 304,562.38, 456,834.06 and 144,753.36 is: 217,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,562.38 : 456,834.06 = 144,753.36 : x
  2. Step 2: Convert to fraction form
    304,562.38/456,834.06 = 144,753.36/x
  3. Step 3: Cross multiply
    304,562.38x = 456,834.06 × 144,753.36
  4. Step 4: Simplify right side
    304,562.38x = 66,128,265,147.44
  5. Step 5: Solve for x
    x = 66,128,265,147.44/304,562.38
  6. Step 6: Final answer
    x = 217,125.52

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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.