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Finding the Fourth Proportional to 374,114.69, 516,291.03 and 204,359.75

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Solution

The fourth proportional to 374,114.69, 516,291.03 and 204,359.75 is: 282,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,114.69 : 516,291.03 = 204,359.75 : x
  2. Step 2: Convert to fraction form
    374,114.69/516,291.03 = 204,359.75/x
  3. Step 3: Cross multiply
    374,114.69x = 516,291.03 × 204,359.75
  4. Step 4: Simplify right side
    374,114.69x = 105,509,105,818.04
  5. Step 5: Solve for x
    x = 105,509,105,818.04/374,114.69
  6. Step 6: Final answer
    x = 282,023.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.