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Finding the Fourth Proportional to 409,863.20, 614,794.80 and 232,716.20

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Solution

The fourth proportional to 409,863.20, 614,794.80 and 232,716.20 is: 349,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,863.20 : 614,794.80 = 232,716.20 : x
  2. Step 2: Convert to fraction form
    409,863.20/614,794.80 = 232,716.20/x
  3. Step 3: Cross multiply
    409,863.20x = 614,794.80 × 232,716.20
  4. Step 4: Simplify right side
    409,863.20x = 143,072,709,635.76
  5. Step 5: Solve for x
    x = 143,072,709,635.76/409,863.20
  6. Step 6: Final answer
    x = 349,074.30

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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.