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Finding the Fourth Proportional to 461,199.12, 691,870.08 and 194,960.64

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Solution

The fourth proportional to 461,199.12, 691,870.08 and 194,960.64 is: 292,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,199.12 : 691,870.08 = 194,960.64 : x
  2. Step 2: Convert to fraction form
    461,199.12/691,870.08 = 194,960.64/x
  3. Step 3: Cross multiply
    461,199.12x = 691,870.08 × 194,960.64
  4. Step 4: Simplify right side
    461,199.12x = 134,887,433,593.65
  5. Step 5: Solve for x
    x = 134,887,433,593.65/461,199.12
  6. Step 6: Final answer
    x = 292,471.14

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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.