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Finding the Fourth Proportional to 371,597.28, 512,802 and 201,829.92

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Solution

The fourth proportional to 371,597.28, 512,802 and 201,829.92 is: 278,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,597.28 : 512,802 = 201,829.92 : x
  2. Step 2: Convert to fraction form
    371,597.28/512,802 = 201,829.92/x
  3. Step 3: Cross multiply
    371,597.28x = 512,802 × 201,829.92
  4. Step 4: Simplify right side
    371,597.28x = 103,498,786,635.84
  5. Step 5: Solve for x
    x = 103,498,786,635.84/371,597.28
  6. Step 6: Final answer
    x = 278,524.07

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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.