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Finding the Fourth Proportional to 409,895.59, 614,019.95 and 204,110.27

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Solution

The fourth proportional to 409,895.59, 614,019.95 and 204,110.27 is: 305,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,895.59 : 614,019.95 = 204,110.27 : x
  2. Step 2: Convert to fraction form
    409,895.59/614,019.95 = 204,110.27/x
  3. Step 3: Cross multiply
    409,895.59x = 614,019.95 × 204,110.27
  4. Step 4: Simplify right side
    409,895.59x = 125,327,779,059.80
  5. Step 5: Solve for x
    x = 125,327,779,059.80/409,895.59
  6. Step 6: Final answer
    x = 305,755.37

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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.