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Finding the Fourth Proportional to 374,456.57, 516,749.36 and 204,690.69

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Solution

The fourth proportional to 374,456.57, 516,749.36 and 204,690.69 is: 282,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,456.57 : 516,749.36 = 204,690.69 : x
  2. Step 2: Convert to fraction form
    374,456.57/516,749.36 = 204,690.69/x
  3. Step 3: Cross multiply
    374,456.57x = 516,749.36 × 204,690.69
  4. Step 4: Simplify right side
    374,456.57x = 105,773,782,032.01
  5. Step 5: Solve for x
    x = 105,773,782,032.01/374,456.57
  6. Step 6: Final answer
    x = 282,472.77

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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.