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Finding the Fourth Proportional to 409,770.61, 613,496.80 and 217,206.27

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Solution

The fourth proportional to 409,770.61, 613,496.80 and 217,206.27 is: 325,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,770.61 : 613,496.80 = 217,206.27 : x
  2. Step 2: Convert to fraction form
    409,770.61/613,496.80 = 217,206.27/x
  3. Step 3: Cross multiply
    409,770.61x = 613,496.80 × 217,206.27
  4. Step 4: Simplify right side
    409,770.61x = 133,255,351,041.92
  5. Step 5: Solve for x
    x = 133,255,351,041.92/409,770.61
  6. Step 6: Final answer
    x = 325,195.00

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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.