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Finding the Fourth Proportional to 338,217, 466,720.74 and 187,302.12

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Solution

The fourth proportional to 338,217, 466,720.74 and 187,302.12 is: 258,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,217 : 466,720.74 = 187,302.12 : x
  2. Step 2: Convert to fraction form
    338,217/466,720.74 = 187,302.12/x
  3. Step 3: Cross multiply
    338,217x = 466,720.74 × 187,302.12
  4. Step 4: Simplify right side
    338,217x = 87,417,784,049.97
  5. Step 5: Solve for x
    x = 87,417,784,049.97/338,217
  6. Step 6: Final answer
    x = 258,466.56

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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.