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Finding the Fourth Proportional to 496,923.38, 685,909.05 and 282,206.42

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Solution

The fourth proportional to 496,923.38, 685,909.05 and 282,206.42 is: 389,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,923.38 : 685,909.05 = 282,206.42 : x
  2. Step 2: Convert to fraction form
    496,923.38/685,909.05 = 282,206.42/x
  3. Step 3: Cross multiply
    496,923.38x = 685,909.05 × 282,206.42
  4. Step 4: Simplify right side
    496,923.38x = 193,567,937,446.10
  5. Step 5: Solve for x
    x = 193,567,937,446.10/496,923.38
  6. Step 6: Final answer
    x = 389,532.76

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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.