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Finding the Fourth Proportional to 338,635.52, 467,400.48 and 200,931.20

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Solution

The fourth proportional to 338,635.52, 467,400.48 and 200,931.20 is: 277,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,635.52 : 467,400.48 = 200,931.20 : x
  2. Step 2: Convert to fraction form
    338,635.52/467,400.48 = 200,931.20/x
  3. Step 3: Cross multiply
    338,635.52x = 467,400.48 × 200,931.20
  4. Step 4: Simplify right side
    338,635.52x = 93,915,339,326.98
  5. Step 5: Solve for x
    x = 93,915,339,326.98/338,635.52
  6. Step 6: Final answer
    x = 277,334.58

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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.