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Finding the Fourth Proportional to 409,757.04, 614,718.16 and 173,099.32

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Solution

The fourth proportional to 409,757.04, 614,718.16 and 173,099.32 is: 259,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,757.04 : 614,718.16 = 173,099.32 : x
  2. Step 2: Convert to fraction form
    409,757.04/614,718.16 = 173,099.32/x
  3. Step 3: Cross multiply
    409,757.04x = 614,718.16 × 173,099.32
  4. Step 4: Simplify right side
    409,757.04x = 106,407,295,487.65
  5. Step 5: Solve for x
    x = 106,407,295,487.65/409,757.04
  6. Step 6: Final answer
    x = 259,683.87

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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.