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Finding the Fourth Proportional to 338,164.50, 466,983.12 and 217,515.24

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Solution

The fourth proportional to 338,164.50, 466,983.12 and 217,515.24 is: 300,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,164.50 : 466,983.12 = 217,515.24 : x
  2. Step 2: Convert to fraction form
    338,164.50/466,983.12 = 217,515.24/x
  3. Step 3: Cross multiply
    338,164.50x = 466,983.12 × 217,515.24
  4. Step 4: Simplify right side
    338,164.50x = 101,575,946,238.43
  5. Step 5: Solve for x
    x = 101,575,946,238.43/338,164.50
  6. Step 6: Final answer
    x = 300,374.36

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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.