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Finding the Fourth Proportional to 288,896.50, 398,732.25 and 193,569.46

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Solution

The fourth proportional to 288,896.50, 398,732.25 and 193,569.46 is: 267,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,896.50 : 398,732.25 = 193,569.46 : x
  2. Step 2: Convert to fraction form
    288,896.50/398,732.25 = 193,569.46/x
  3. Step 3: Cross multiply
    288,896.50x = 398,732.25 × 193,569.46
  4. Step 4: Simplify right side
    288,896.50x = 77,182,386,317.09
  5. Step 5: Solve for x
    x = 77,182,386,317.09/288,896.50
  6. Step 6: Final answer
    x = 267,162.76

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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.