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Finding the Fourth Proportional to 264,370.42, 396,471.65 and 86,836.10

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Solution

The fourth proportional to 264,370.42, 396,471.65 and 86,836.10 is: 130,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,370.42 : 396,471.65 = 86,836.10 : x
  2. Step 2: Convert to fraction form
    264,370.42/396,471.65 = 86,836.10/x
  3. Step 3: Cross multiply
    264,370.42x = 396,471.65 × 86,836.10
  4. Step 4: Simplify right side
    264,370.42x = 34,428,051,846.57
  5. Step 5: Solve for x
    x = 34,428,051,846.57/264,370.42
  6. Step 6: Final answer
    x = 130,226.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.