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Finding the Fourth Proportional to 502,383.85, 693,118.23 and 311,327.53

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Solution

The fourth proportional to 502,383.85, 693,118.23 and 311,327.53 is: 429,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,383.85 : 693,118.23 = 311,327.53 : x
  2. Step 2: Convert to fraction form
    502,383.85/693,118.23 = 311,327.53/x
  3. Step 3: Cross multiply
    502,383.85x = 693,118.23 × 311,327.53
  4. Step 4: Simplify right side
    502,383.85x = 215,786,786,543.87
  5. Step 5: Solve for x
    x = 215,786,786,543.87/502,383.85
  6. Step 6: Final answer
    x = 429,525.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.