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Finding the Fourth Proportional to 502,729.86, 693,725.96 and 295,965.42

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Solution

The fourth proportional to 502,729.86, 693,725.96 and 295,965.42 is: 408,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,729.86 : 693,725.96 = 295,965.42 : x
  2. Step 2: Convert to fraction form
    502,729.86/693,725.96 = 295,965.42/x
  3. Step 3: Cross multiply
    502,729.86x = 693,725.96 × 295,965.42
  4. Step 4: Simplify right side
    502,729.86x = 205,318,895,116.30
  5. Step 5: Solve for x
    x = 205,318,895,116.30/502,729.86
  6. Step 6: Final answer
    x = 408,408.00

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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.