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Finding the Fourth Proportional to 400,614, 600,057.09 and 377,060.01

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Solution

The fourth proportional to 400,614, 600,057.09 and 377,060.01 is: 564,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,614 : 600,057.09 = 377,060.01 : x
  2. Step 2: Convert to fraction form
    400,614/600,057.09 = 377,060.01/x
  3. Step 3: Cross multiply
    400,614x = 600,057.09 × 377,060.01
  4. Step 4: Simplify right side
    400,614x = 226,257,532,355.97
  5. Step 5: Solve for x
    x = 226,257,532,355.97/400,614
  6. Step 6: Final answer
    x = 564,776.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.