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Finding the Fourth Proportional to 374,151.44, 516,340.32 and 204,396.48

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Solution

The fourth proportional to 374,151.44, 516,340.32 and 204,396.48 is: 282,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,151.44 : 516,340.32 = 204,396.48 : x
  2. Step 2: Convert to fraction form
    374,151.44/516,340.32 = 204,396.48/x
  3. Step 3: Cross multiply
    374,151.44x = 516,340.32 × 204,396.48
  4. Step 4: Simplify right side
    374,151.44x = 105,538,143,890.07
  5. Step 5: Solve for x
    x = 105,538,143,890.07/374,151.44
  6. Step 6: Final answer
    x = 282,073.33

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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.