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Finding the Fourth Proportional to 447,614.30, 671,624.56 and 409,773.54

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Solution

The fourth proportional to 447,614.30, 671,624.56 and 409,773.54 is: 614,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,614.30 : 671,624.56 = 409,773.54 : x
  2. Step 2: Convert to fraction form
    447,614.30/671,624.56 = 409,773.54/x
  3. Step 3: Cross multiply
    447,614.30x = 671,624.56 × 409,773.54
  4. Step 4: Simplify right side
    447,614.30x = 275,213,973,502.14
  5. Step 5: Solve for x
    x = 275,213,973,502.14/447,614.30
  6. Step 6: Final answer
    x = 614,846.25

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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.