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Finding the Fourth Proportional to 409,196.22, 613,794.33 and 156,502.38

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Solution

The fourth proportional to 409,196.22, 613,794.33 and 156,502.38 is: 234,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,196.22 : 613,794.33 = 156,502.38 : x
  2. Step 2: Convert to fraction form
    409,196.22/613,794.33 = 156,502.38/x
  3. Step 3: Cross multiply
    409,196.22x = 613,794.33 × 156,502.38
  4. Step 4: Simplify right side
    409,196.22x = 96,060,273,475.51
  5. Step 5: Solve for x
    x = 96,060,273,475.51/409,196.22
  6. Step 6: Final answer
    x = 234,753.57

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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.