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Finding the Fourth Proportional to 414,415.71, 571,892.86 and 233,127.78

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Solution

The fourth proportional to 414,415.71, 571,892.86 and 233,127.78 is: 321,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,415.71 : 571,892.86 = 233,127.78 : x
  2. Step 2: Convert to fraction form
    414,415.71/571,892.86 = 233,127.78/x
  3. Step 3: Cross multiply
    414,415.71x = 571,892.86 × 233,127.78
  4. Step 4: Simplify right side
    414,415.71x = 133,324,112,266.83
  5. Step 5: Solve for x
    x = 133,324,112,266.83/414,415.71
  6. Step 6: Final answer
    x = 321,715.87

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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.