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Finding the Fourth Proportional to 378,382.32, 567,573.48 and 129,066.48

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Solution

The fourth proportional to 378,382.32, 567,573.48 and 129,066.48 is: 193,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,382.32 : 567,573.48 = 129,066.48 : x
  2. Step 2: Convert to fraction form
    378,382.32/567,573.48 = 129,066.48/x
  3. Step 3: Cross multiply
    378,382.32x = 567,573.48 × 129,066.48
  4. Step 4: Simplify right side
    378,382.32x = 73,254,711,204.95
  5. Step 5: Solve for x
    x = 73,254,711,204.95/378,382.32
  6. Step 6: Final answer
    x = 193,599.72

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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.