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Finding the Fourth Proportional to 378,043.61, 567,046.58 and 141,368.90

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Solution

The fourth proportional to 378,043.61, 567,046.58 and 141,368.90 is: 212,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,043.61 : 567,046.58 = 141,368.90 : x
  2. Step 2: Convert to fraction form
    378,043.61/567,046.58 = 141,368.90/x
  3. Step 3: Cross multiply
    378,043.61x = 567,046.58 × 141,368.90
  4. Step 4: Simplify right side
    378,043.61x = 80,162,747,721.28
  5. Step 5: Solve for x
    x = 80,162,747,721.28/378,043.61
  6. Step 6: Final answer
    x = 212,046.30

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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.