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Finding the Fourth Proportional to 303,422.80, 425,414 and 303,422.80

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Solution

The fourth proportional to 303,422.80, 425,414 and 303,422.80 is: 425,414

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,422.80 : 425,414 = 303,422.80 : x
  2. Step 2: Convert to fraction form
    303,422.80/425,414 = 303,422.80/x
  3. Step 3: Cross multiply
    303,422.80x = 425,414 × 303,422.80
  4. Step 4: Simplify right side
    303,422.80x = 129,080,307,039.20
  5. Step 5: Solve for x
    x = 129,080,307,039.20/303,422.80
  6. Step 6: Final answer
    x = 425,414

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.