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Finding the Fourth Proportional to 338,034.08, 466,803.12 and 217,384.88

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Solution

The fourth proportional to 338,034.08, 466,803.12 and 217,384.88 is: 300,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,034.08 : 466,803.12 = 217,384.88 : x
  2. Step 2: Convert to fraction form
    338,034.08/466,803.12 = 217,384.88/x
  3. Step 3: Cross multiply
    338,034.08x = 466,803.12 × 217,384.88
  4. Step 4: Simplify right side
    338,034.08x = 101,475,940,224.83
  5. Step 5: Solve for x
    x = 101,475,940,224.83/338,034.08
  6. Step 6: Final answer
    x = 300,194.41

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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.