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Finding the Fourth Proportional to 410,232.78, 566,178.30 and 228,956.38

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Solution

The fourth proportional to 410,232.78, 566,178.30 and 228,956.38 is: 315,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,232.78 : 566,178.30 = 228,956.38 : x
  2. Step 2: Convert to fraction form
    410,232.78/566,178.30 = 228,956.38/x
  3. Step 3: Cross multiply
    410,232.78x = 566,178.30 × 228,956.38
  4. Step 4: Simplify right side
    410,232.78x = 129,630,134,002.55
  5. Step 5: Solve for x
    x = 129,630,134,002.55/410,232.78
  6. Step 6: Final answer
    x = 315,991.65

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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.