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Finding the Fourth Proportional to 409,681.59, 614,550.06 and 196,496.25

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Solution

The fourth proportional to 409,681.59, 614,550.06 and 196,496.25 is: 294,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,681.59 : 614,550.06 = 196,496.25 : x
  2. Step 2: Convert to fraction form
    409,681.59/614,550.06 = 196,496.25/x
  3. Step 3: Cross multiply
    409,681.59x = 614,550.06 × 196,496.25
  4. Step 4: Simplify right side
    409,681.59x = 120,756,782,227.28
  5. Step 5: Solve for x
    x = 120,756,782,227.28/409,681.59
  6. Step 6: Final answer
    x = 294,757.65

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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.