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Finding the Fourth Proportional to 400,882.42, 553,226.66 and 228,796.93

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Solution

The fourth proportional to 400,882.42, 553,226.66 and 228,796.93 is: 315,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,882.42 : 553,226.66 = 228,796.93 : x
  2. Step 2: Convert to fraction form
    400,882.42/553,226.66 = 228,796.93/x
  3. Step 3: Cross multiply
    400,882.42x = 553,226.66 × 228,796.93
  4. Step 4: Simplify right side
    400,882.42x = 126,576,560,251.74
  5. Step 5: Solve for x
    x = 126,576,560,251.74/400,882.42
  6. Step 6: Final answer
    x = 315,744.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.