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Finding the Fourth Proportional to 414,437.87, 571,891.56 and 233,113.70

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Solution

The fourth proportional to 414,437.87, 571,891.56 and 233,113.70 is: 321,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,437.87 : 571,891.56 = 233,113.70 : x
  2. Step 2: Convert to fraction form
    414,437.87/571,891.56 = 233,113.70/x
  3. Step 3: Cross multiply
    414,437.87x = 571,891.56 × 233,113.70
  4. Step 4: Simplify right side
    414,437.87x = 133,315,758,105.93
  5. Step 5: Solve for x
    x = 133,315,758,105.93/414,437.87
  6. Step 6: Final answer
    x = 321,678.51

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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.