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Finding the Fourth Proportional to 564,115.27, 845,377.29 and 311,509.48

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Solution

The fourth proportional to 564,115.27, 845,377.29 and 311,509.48 is: 466,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,115.27 : 845,377.29 = 311,509.48 : x
  2. Step 2: Convert to fraction form
    564,115.27/845,377.29 = 311,509.48/x
  3. Step 3: Cross multiply
    564,115.27x = 845,377.29 × 311,509.48
  4. Step 4: Simplify right side
    564,115.27x = 263,343,040,011.71
  5. Step 5: Solve for x
    x = 263,343,040,011.71/564,115.27
  6. Step 6: Final answer
    x = 466,824.87

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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.