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Finding the Fourth Proportional to 564,728.56, 847,429.43 and 204,927.48

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Solution

The fourth proportional to 564,728.56, 847,429.43 and 204,927.48 is: 307,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,728.56 : 847,429.43 = 204,927.48 : x
  2. Step 2: Convert to fraction form
    564,728.56/847,429.43 = 204,927.48/x
  3. Step 3: Cross multiply
    564,728.56x = 847,429.43 × 204,927.48
  4. Step 4: Simplify right side
    564,728.56x = 173,661,578,114.71
  5. Step 5: Solve for x
    x = 173,661,578,114.71/564,728.56
  6. Step 6: Final answer
    x = 307,513.36

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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.