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Finding the Fourth Proportional to 374,409.72, 516,667.44 and 204,643.92

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Solution

The fourth proportional to 374,409.72, 516,667.44 and 204,643.92 is: 282,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,409.72 : 516,667.44 = 204,643.92 : x
  2. Step 2: Convert to fraction form
    374,409.72/516,667.44 = 204,643.92/x
  3. Step 3: Cross multiply
    374,409.72x = 516,667.44 × 204,643.92
  4. Step 4: Simplify right side
    374,409.72x = 105,732,850,257.97
  5. Step 5: Solve for x
    x = 105,732,850,257.97/374,409.72
  6. Step 6: Final answer
    x = 282,398.79

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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.