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Finding the Fourth Proportional to 655,204.48, 982,184 and 256,101.12

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Solution

The fourth proportional to 655,204.48, 982,184 and 256,101.12 is: 383,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,204.48 : 982,184 = 256,101.12 : x
  2. Step 2: Convert to fraction form
    655,204.48/982,184 = 256,101.12/x
  3. Step 3: Cross multiply
    655,204.48x = 982,184 × 256,101.12
  4. Step 4: Simplify right side
    655,204.48x = 251,538,422,446.08
  5. Step 5: Solve for x
    x = 251,538,422,446.08/655,204.48
  6. Step 6: Final answer
    x = 383,908.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.