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Finding the Fourth Proportional to 378,476.50, 567,714.84 and 153,959.08

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Solution

The fourth proportional to 378,476.50, 567,714.84 and 153,959.08 is: 230,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,476.50 : 567,714.84 = 153,959.08 : x
  2. Step 2: Convert to fraction form
    378,476.50/567,714.84 = 153,959.08/x
  3. Step 3: Cross multiply
    378,476.50x = 567,714.84 × 153,959.08
  4. Step 4: Simplify right side
    378,476.50x = 87,404,854,468.75
  5. Step 5: Solve for x
    x = 87,404,854,468.75/378,476.50
  6. Step 6: Final answer
    x = 230,938.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.