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Finding the Fourth Proportional to 338,245.60, 466,601.97 and 209,142.82

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Solution

The fourth proportional to 338,245.60, 466,601.97 and 209,142.82 is: 288,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,245.60 : 466,601.97 = 209,142.82 : x
  2. Step 2: Convert to fraction form
    338,245.60/466,601.97 = 209,142.82/x
  3. Step 3: Cross multiply
    338,245.60x = 466,601.97 × 209,142.82
  4. Step 4: Simplify right side
    338,245.60x = 97,586,451,823.36
  5. Step 5: Solve for x
    x = 97,586,451,823.36/338,245.60
  6. Step 6: Final answer
    x = 288,507.68

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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.