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Finding the Fourth Proportional to 289,034.36, 398,978.16 and 193,506.20

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Solution

The fourth proportional to 289,034.36, 398,978.16 and 193,506.20 is: 267,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,034.36 : 398,978.16 = 193,506.20 : x
  2. Step 2: Convert to fraction form
    289,034.36/398,978.16 = 193,506.20/x
  3. Step 3: Cross multiply
    289,034.36x = 398,978.16 × 193,506.20
  4. Step 4: Simplify right side
    289,034.36x = 77,204,747,624.59
  5. Step 5: Solve for x
    x = 77,204,747,624.59/289,034.36
  6. Step 6: Final answer
    x = 267,112.70

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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.