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Finding the Fourth Proportional to 475,986.28, 713,007.42 and 265,736.20

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Solution

The fourth proportional to 475,986.28, 713,007.42 and 265,736.20 is: 398,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,986.28 : 713,007.42 = 265,736.20 : x
  2. Step 2: Convert to fraction form
    475,986.28/713,007.42 = 265,736.20/x
  3. Step 3: Cross multiply
    475,986.28x = 713,007.42 × 265,736.20
  4. Step 4: Simplify right side
    475,986.28x = 189,471,882,362.60
  5. Step 5: Solve for x
    x = 189,471,882,362.60/475,986.28
  6. Step 6: Final answer
    x = 398,061.65

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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.