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Finding the Fourth Proportional to 414,699.82, 571,990.95 and 276,809.22

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Solution

The fourth proportional to 414,699.82, 571,990.95 and 276,809.22 is: 381,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,699.82 : 571,990.95 = 276,809.22 : x
  2. Step 2: Convert to fraction form
    414,699.82/571,990.95 = 276,809.22/x
  3. Step 3: Cross multiply
    414,699.82x = 571,990.95 × 276,809.22
  4. Step 4: Simplify right side
    414,699.82x = 158,332,368,197.54
  5. Step 5: Solve for x
    x = 158,332,368,197.54/414,699.82
  6. Step 6: Final answer
    x = 381,799.95

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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.