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Finding the Fourth Proportional to 410,062.74, 565,885.75 and 228,763.85

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Solution

The fourth proportional to 410,062.74, 565,885.75 and 228,763.85 is: 315,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,062.74 : 565,885.75 = 228,763.85 : x
  2. Step 2: Convert to fraction form
    410,062.74/565,885.75 = 228,763.85/x
  3. Step 3: Cross multiply
    410,062.74x = 565,885.75 × 228,763.85
  4. Step 4: Simplify right side
    410,062.74x = 129,454,203,672.94
  5. Step 5: Solve for x
    x = 129,454,203,672.94/410,062.74
  6. Step 6: Final answer
    x = 315,693.65

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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.