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Finding the Fourth Proportional to 374,523.42, 516,842.28 and 204,757.50

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Solution

The fourth proportional to 374,523.42, 516,842.28 and 204,757.50 is: 282,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,523.42 : 516,842.28 = 204,757.50 : x
  2. Step 2: Convert to fraction form
    374,523.42/516,842.28 = 204,757.50/x
  3. Step 3: Cross multiply
    374,523.42x = 516,842.28 × 204,757.50
  4. Step 4: Simplify right side
    374,523.42x = 105,827,333,147.10
  5. Step 5: Solve for x
    x = 105,827,333,147.10/374,523.42
  6. Step 6: Final answer
    x = 282,565.33

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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.