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Finding the Fourth Proportional to 461,383.56, 691,652.52 and 161,700.77

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Solution

The fourth proportional to 461,383.56, 691,652.52 and 161,700.77 is: 242,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,383.56 : 691,652.52 = 161,700.77 : x
  2. Step 2: Convert to fraction form
    461,383.56/691,652.52 = 161,700.77/x
  3. Step 3: Cross multiply
    461,383.56x = 691,652.52 × 161,700.77
  4. Step 4: Simplify right side
    461,383.56x = 111,840,746,785.57
  5. Step 5: Solve for x
    x = 111,840,746,785.57/461,383.56
  6. Step 6: Final answer
    x = 242,402.97

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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.