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Finding the Fourth Proportional to 374,147.82, 516,335.34 and 204,392.88

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Solution

The fourth proportional to 374,147.82, 516,335.34 and 204,392.88 is: 282,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,147.82 : 516,335.34 = 204,392.88 : x
  2. Step 2: Convert to fraction form
    374,147.82/516,335.34 = 204,392.88/x
  3. Step 3: Cross multiply
    374,147.82x = 516,335.34 × 204,392.88
  4. Step 4: Simplify right side
    374,147.82x = 105,535,267,188.38
  5. Step 5: Solve for x
    x = 105,535,267,188.38/374,147.82
  6. Step 6: Final answer
    x = 282,068.37

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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.