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Finding the Fourth Proportional to 409,773.62, 613,501.29 and 217,209.27

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Solution

The fourth proportional to 409,773.62, 613,501.29 and 217,209.27 is: 325,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,773.62 : 613,501.29 = 217,209.27 : x
  2. Step 2: Convert to fraction form
    409,773.62/613,501.29 = 217,209.27/x
  3. Step 3: Cross multiply
    409,773.62x = 613,501.29 × 217,209.27
  4. Step 4: Simplify right side
    409,773.62x = 133,258,167,344.96
  5. Step 5: Solve for x
    x = 133,258,167,344.96/409,773.62
  6. Step 6: Final answer
    x = 325,199.48

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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.