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Finding the Fourth Proportional to 294,463.74, 441,726.28 and 81,231.68

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Solution

The fourth proportional to 294,463.74, 441,726.28 and 81,231.68 is: 121,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,463.74 : 441,726.28 = 81,231.68 : x
  2. Step 2: Convert to fraction form
    294,463.74/441,726.28 = 81,231.68/x
  3. Step 3: Cross multiply
    294,463.74x = 441,726.28 × 81,231.68
  4. Step 4: Simplify right side
    294,463.74x = 35,882,167,824.55
  5. Step 5: Solve for x
    x = 35,882,167,824.55/294,463.74
  6. Step 6: Final answer
    x = 121,855.98

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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.