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Finding the Fourth Proportional to 496,501.82, 744,169.53 and 229,698.75

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Solution

The fourth proportional to 496,501.82, 744,169.53 and 229,698.75 is: 344,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,501.82 : 744,169.53 = 229,698.75 : x
  2. Step 2: Convert to fraction form
    496,501.82/744,169.53 = 229,698.75/x
  3. Step 3: Cross multiply
    496,501.82x = 744,169.53 × 229,698.75
  4. Step 4: Simplify right side
    496,501.82x = 170,934,813,189.04
  5. Step 5: Solve for x
    x = 170,934,813,189.04/496,501.82
  6. Step 6: Final answer
    x = 344,278.32

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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.