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Finding the Fourth Proportional to 409,672.96, 614,509.44 and 129,212.08

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Solution

The fourth proportional to 409,672.96, 614,509.44 and 129,212.08 is: 193,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,672.96 : 614,509.44 = 129,212.08 : x
  2. Step 2: Convert to fraction form
    409,672.96/614,509.44 = 129,212.08/x
  3. Step 3: Cross multiply
    409,672.96x = 614,509.44 × 129,212.08
  4. Step 4: Simplify right side
    409,672.96x = 79,402,042,922.04
  5. Step 5: Solve for x
    x = 79,402,042,922.04/409,672.96
  6. Step 6: Final answer
    x = 193,818.12

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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.