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Finding the Fourth Proportional to 338,561.84, 466,993.14 and 217,512.20

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Solution

The fourth proportional to 338,561.84, 466,993.14 and 217,512.20 is: 300,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,561.84 : 466,993.14 = 217,512.20 : x
  2. Step 2: Convert to fraction form
    338,561.84/466,993.14 = 217,512.20/x
  3. Step 3: Cross multiply
    338,561.84x = 466,993.14 × 217,512.20
  4. Step 4: Simplify right side
    338,561.84x = 101,576,705,266.31
  5. Step 5: Solve for x
    x = 101,576,705,266.31/338,561.84
  6. Step 6: Final answer
    x = 300,024.08

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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.