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Finding the Fourth Proportional to 376,463.68, 564,544.80 and 165,952

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Solution

The fourth proportional to 376,463.68, 564,544.80 and 165,952 is: 248,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,463.68 : 564,544.80 = 165,952 : x
  2. Step 2: Convert to fraction form
    376,463.68/564,544.80 = 165,952/x
  3. Step 3: Cross multiply
    376,463.68x = 564,544.80 × 165,952
  4. Step 4: Simplify right side
    376,463.68x = 93,687,338,649.60
  5. Step 5: Solve for x
    x = 93,687,338,649.60/376,463.68
  6. Step 6: Final answer
    x = 248,861.56

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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.