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Finding the Fourth Proportional to 376,410.96, 564,497.46 and 123,649.92

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Solution

The fourth proportional to 376,410.96, 564,497.46 and 123,649.92 is: 185,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,410.96 : 564,497.46 = 123,649.92 : x
  2. Step 2: Convert to fraction form
    376,410.96/564,497.46 = 123,649.92/x
  3. Step 3: Cross multiply
    376,410.96x = 564,497.46 × 123,649.92
  4. Step 4: Simplify right side
    376,410.96x = 69,800,065,769.20
  5. Step 5: Solve for x
    x = 69,800,065,769.20/376,410.96
  6. Step 6: Final answer
    x = 185,435.80

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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.