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Finding the Fourth Proportional to 409,614.80, 614,422.20 and 376,437.20

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Solution

The fourth proportional to 409,614.80, 614,422.20 and 376,437.20 is: 564,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,614.80 : 614,422.20 = 376,437.20 : x
  2. Step 2: Convert to fraction form
    409,614.80/614,422.20 = 376,437.20/x
  3. Step 3: Cross multiply
    409,614.80x = 614,422.20 × 376,437.20
  4. Step 4: Simplify right side
    409,614.80x = 231,291,372,585.84
  5. Step 5: Solve for x
    x = 231,291,372,585.84/409,614.80
  6. Step 6: Final answer
    x = 564,655.80

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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.