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Finding the Fourth Proportional to 338,523.27, 467,478.12 and 217,874.67

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Solution

The fourth proportional to 338,523.27, 467,478.12 and 217,874.67 is: 300,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,523.27 : 467,478.12 = 217,874.67 : x
  2. Step 2: Convert to fraction form
    338,523.27/467,478.12 = 217,874.67/x
  3. Step 3: Cross multiply
    338,523.27x = 467,478.12 × 217,874.67
  4. Step 4: Simplify right side
    338,523.27x = 101,851,641,127.22
  5. Step 5: Solve for x
    x = 101,851,641,127.22/338,523.27
  6. Step 6: Final answer
    x = 300,870.43

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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.