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Finding the Fourth Proportional to 564,758.17, 846,915.85 and 204,843.31

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Solution

The fourth proportional to 564,758.17, 846,915.85 and 204,843.31 is: 307,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,758.17 : 846,915.85 = 204,843.31 : x
  2. Step 2: Convert to fraction form
    564,758.17/846,915.85 = 204,843.31/x
  3. Step 3: Cross multiply
    564,758.17x = 846,915.85 × 204,843.31
  4. Step 4: Simplify right side
    564,758.17x = 173,485,046,005.46
  5. Step 5: Solve for x
    x = 173,485,046,005.46/564,758.17
  6. Step 6: Final answer
    x = 307,184.66

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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.