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Finding the Fourth Proportional to 642,930.12, 887,242.10 and 356,442.84

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Solution

The fourth proportional to 642,930.12, 887,242.10 and 356,442.84 is: 491,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,930.12 : 887,242.10 = 356,442.84 : x
  2. Step 2: Convert to fraction form
    642,930.12/887,242.10 = 356,442.84/x
  3. Step 3: Cross multiply
    642,930.12x = 887,242.10 × 356,442.84
  4. Step 4: Simplify right side
    642,930.12x = 316,251,093,891.56
  5. Step 5: Solve for x
    x = 316,251,093,891.56/642,930.12
  6. Step 6: Final answer
    x = 491,890.31

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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.