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Finding the Fourth Proportional to 408,824.50, 613,242.27 and 128,341.78

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Solution

The fourth proportional to 408,824.50, 613,242.27 and 128,341.78 is: 192,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,824.50 : 613,242.27 = 128,341.78 : x
  2. Step 2: Convert to fraction form
    408,824.50/613,242.27 = 128,341.78/x
  3. Step 3: Cross multiply
    408,824.50x = 613,242.27 × 128,341.78
  4. Step 4: Simplify right side
    408,824.50x = 78,704,604,503.04
  5. Step 5: Solve for x
    x = 78,704,604,503.04/408,824.50
  6. Step 6: Final answer
    x = 192,514.40

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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.