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Finding the Fourth Proportional to 230,382.79, 317,929.74 and 128,414.73

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Solution

The fourth proportional to 230,382.79, 317,929.74 and 128,414.73 is: 177,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382.79 : 317,929.74 = 128,414.73 : x
  2. Step 2: Convert to fraction form
    230,382.79/317,929.74 = 128,414.73/x
  3. Step 3: Cross multiply
    230,382.79x = 317,929.74 × 128,414.73
  4. Step 4: Simplify right side
    230,382.79x = 40,826,861,721.07
  5. Step 5: Solve for x
    x = 40,826,861,721.07/230,382.79
  6. Step 6: Final answer
    x = 177,213.16

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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.