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Finding the Fourth Proportional to 338,160.16, 466,580.88 and 200,269.48

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Solution

The fourth proportional to 338,160.16, 466,580.88 and 200,269.48 is: 276,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,160.16 : 466,580.88 = 200,269.48 : x
  2. Step 2: Convert to fraction form
    338,160.16/466,580.88 = 200,269.48/x
  3. Step 3: Cross multiply
    338,160.16x = 466,580.88 × 200,269.48
  4. Step 4: Simplify right side
    338,160.16x = 93,441,910,215.54
  5. Step 5: Solve for x
    x = 93,441,910,215.54/338,160.16
  6. Step 6: Final answer
    x = 276,324.42

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1.5x scale

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.