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Finding the Fourth Proportional to 463,040.40, 694,171.80 and 241,424.40

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Solution

The fourth proportional to 463,040.40, 694,171.80 and 241,424.40 is: 361,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,040.40 : 694,171.80 = 241,424.40 : x
  2. Step 2: Convert to fraction form
    463,040.40/694,171.80 = 241,424.40/x
  3. Step 3: Cross multiply
    463,040.40x = 694,171.80 × 241,424.40
  4. Step 4: Simplify right side
    463,040.40x = 167,590,010,311.92
  5. Step 5: Solve for x
    x = 167,590,010,311.92/463,040.40
  6. Step 6: Final answer
    x = 361,933.88

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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.