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Finding the Fourth Proportional to 496,349.86, 744,242.31 and 338,769.22

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Solution

The fourth proportional to 496,349.86, 744,242.31 and 338,769.22 is: 507,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,349.86 : 744,242.31 = 338,769.22 : x
  2. Step 2: Convert to fraction form
    496,349.86/744,242.31 = 338,769.22/x
  3. Step 3: Cross multiply
    496,349.86x = 744,242.31 × 338,769.22
  4. Step 4: Simplify right side
    496,349.86x = 252,126,386,849.70
  5. Step 5: Solve for x
    x = 252,126,386,849.70/496,349.86
  6. Step 6: Final answer
    x = 507,961.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.