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Finding the Fourth Proportional to 564,505.56, 847,192.70 and 328,014.32

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Solution

The fourth proportional to 564,505.56, 847,192.70 and 328,014.32 is: 492,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,505.56 : 847,192.70 = 328,014.32 : x
  2. Step 2: Convert to fraction form
    564,505.56/847,192.70 = 328,014.32/x
  3. Step 3: Cross multiply
    564,505.56x = 847,192.70 × 328,014.32
  4. Step 4: Simplify right side
    564,505.56x = 277,891,333,983.54
  5. Step 5: Solve for x
    x = 277,891,333,983.54/564,505.56
  6. Step 6: Final answer
    x = 492,273.87

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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.