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Finding the Fourth Proportional to 386,891.51, 533,912.38 and 214,812.14

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Solution

The fourth proportional to 386,891.51, 533,912.38 and 214,812.14 is: 296,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,891.51 : 533,912.38 = 214,812.14 : x
  2. Step 2: Convert to fraction form
    386,891.51/533,912.38 = 214,812.14/x
  3. Step 3: Cross multiply
    386,891.51x = 533,912.38 × 214,812.14
  4. Step 4: Simplify right side
    386,891.51x = 114,690,857,713.70
  5. Step 5: Solve for x
    x = 114,690,857,713.70/386,891.51
  6. Step 6: Final answer
    x = 296,441.91

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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.