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Finding the Fourth Proportional to 409,772.11, 613,499.05 and 217,207.77

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Solution

The fourth proportional to 409,772.11, 613,499.05 and 217,207.77 is: 325,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,772.11 : 613,499.05 = 217,207.77 : x
  2. Step 2: Convert to fraction form
    409,772.11/613,499.05 = 217,207.77/x
  3. Step 3: Cross multiply
    409,772.11x = 613,499.05 × 217,207.77
  4. Step 4: Simplify right side
    409,772.11x = 133,256,760,004.60
  5. Step 5: Solve for x
    x = 133,256,760,004.60/409,772.11
  6. Step 6: Final answer
    x = 325,197.24

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1.5x scale

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.