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Finding the Fourth Proportional to 467,524, 645,183.12 and 255,556

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Solution

The fourth proportional to 467,524, 645,183.12 and 255,556 is: 352,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,524 : 645,183.12 = 255,556 : x
  2. Step 2: Convert to fraction form
    467,524/645,183.12 = 255,556/x
  3. Step 3: Cross multiply
    467,524x = 645,183.12 × 255,556
  4. Step 4: Simplify right side
    467,524x = 164,880,417,414.72
  5. Step 5: Solve for x
    x = 164,880,417,414.72/467,524
  6. Step 6: Final answer
    x = 352,667.28

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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.