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Finding the Fourth Proportional to 322,410.40, 451,743.20 and 322,410.40

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Solution

The fourth proportional to 322,410.40, 451,743.20 and 322,410.40 is: 451,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,410.40 : 451,743.20 = 322,410.40 : x
  2. Step 2: Convert to fraction form
    322,410.40/451,743.20 = 322,410.40/x
  3. Step 3: Cross multiply
    322,410.40x = 451,743.20 × 322,410.40
  4. Step 4: Simplify right side
    322,410.40x = 145,646,705,809.28
  5. Step 5: Solve for x
    x = 145,646,705,809.28/322,410.40
  6. Step 6: Final answer
    x = 451,743.20

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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.