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Finding the Fourth Proportional to 409,908.08, 614,880.96 and 125,578.24

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Solution

The fourth proportional to 409,908.08, 614,880.96 and 125,578.24 is: 188,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,908.08 : 614,880.96 = 125,578.24 : x
  2. Step 2: Convert to fraction form
    409,908.08/614,880.96 = 125,578.24/x
  3. Step 3: Cross multiply
    409,908.08x = 614,880.96 × 125,578.24
  4. Step 4: Simplify right side
    409,908.08x = 77,215,668,766.31
  5. Step 5: Solve for x
    x = 77,215,668,766.31/409,908.08
  6. Step 6: Final answer
    x = 188,373.13

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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.