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Finding the Fourth Proportional to 564,782.82, 847,340.32 and 227,649.94

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Solution

The fourth proportional to 564,782.82, 847,340.32 and 227,649.94 is: 341,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,782.82 : 847,340.32 = 227,649.94 : x
  2. Step 2: Convert to fraction form
    564,782.82/847,340.32 = 227,649.94/x
  3. Step 3: Cross multiply
    564,782.82x = 847,340.32 × 227,649.94
  4. Step 4: Simplify right side
    564,782.82x = 192,896,969,510.90
  5. Step 5: Solve for x
    x = 192,896,969,510.90/564,782.82
  6. Step 6: Final answer
    x = 341,541.85

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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.