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Finding the Fourth Proportional to 828,932.58, 1,143,846 and 466,348.86

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Solution

The fourth proportional to 828,932.58, 1,143,846 and 466,348.86 is: 643,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,932.58 : 1,143,846 = 466,348.86 : x
  2. Step 2: Convert to fraction form
    828,932.58/1,143,846 = 466,348.86/x
  3. Step 3: Cross multiply
    828,932.58x = 1,143,846 × 466,348.86
  4. Step 4: Simplify right side
    828,932.58x = 533,431,278,115.56
  5. Step 5: Solve for x
    x = 533,431,278,115.56/828,932.58
  6. Step 6: Final answer
    x = 643,515.88

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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.