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Finding the Fourth Proportional to 257,934.30, 386,901.45 and 231,690.30

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Solution

The fourth proportional to 257,934.30, 386,901.45 and 231,690.30 is: 347,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,934.30 : 386,901.45 = 231,690.30 : x
  2. Step 2: Convert to fraction form
    257,934.30/386,901.45 = 231,690.30/x
  3. Step 3: Cross multiply
    257,934.30x = 386,901.45 × 231,690.30
  4. Step 4: Simplify right side
    257,934.30x = 89,641,313,020.94
  5. Step 5: Solve for x
    x = 89,641,313,020.94/257,934.30
  6. Step 6: Final answer
    x = 347,535.45

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1.5x scale

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.