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Finding the Fourth Proportional to 410,096.64, 565,932.58 and 228,797.79

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Solution

The fourth proportional to 410,096.64, 565,932.58 and 228,797.79 is: 315,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,096.64 : 565,932.58 = 228,797.79 : x
  2. Step 2: Convert to fraction form
    410,096.64/565,932.58 = 228,797.79/x
  3. Step 3: Cross multiply
    410,096.64x = 565,932.58 × 228,797.79
  4. Step 4: Simplify right side
    410,096.64x = 129,484,123,593.00
  5. Step 5: Solve for x
    x = 129,484,123,593.00/410,096.64
  6. Step 6: Final answer
    x = 315,740.51

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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.