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Finding the Fourth Proportional to 304,127.46, 456,268.95 and 126,575.46

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Solution

The fourth proportional to 304,127.46, 456,268.95 and 126,575.46 is: 189,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,127.46 : 456,268.95 = 126,575.46 : x
  2. Step 2: Convert to fraction form
    304,127.46/456,268.95 = 126,575.46/x
  3. Step 3: Cross multiply
    304,127.46x = 456,268.95 × 126,575.46
  4. Step 4: Simplify right side
    304,127.46x = 57,752,452,229.97
  5. Step 5: Solve for x
    x = 57,752,452,229.97/304,127.46
  6. Step 6: Final answer
    x = 189,895.55

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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.