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Finding the Fourth Proportional to 564,728.28, 847,429.01 and 204,927.20

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Solution

The fourth proportional to 564,728.28, 847,429.01 and 204,927.20 is: 307,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,728.28 : 847,429.01 = 204,927.20 : x
  2. Step 2: Convert to fraction form
    564,728.28/847,429.01 = 204,927.20/x
  3. Step 3: Cross multiply
    564,728.28x = 847,429.01 × 204,927.20
  4. Step 4: Simplify right side
    564,728.28x = 173,661,253,193.44
  5. Step 5: Solve for x
    x = 173,661,253,193.44/564,728.28
  6. Step 6: Final answer
    x = 307,512.94

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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.