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Finding the Fourth Proportional to 414,484.16, 571,964.64 and 233,203.76

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Solution

The fourth proportional to 414,484.16, 571,964.64 and 233,203.76 is: 321,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,484.16 : 571,964.64 = 233,203.76 : x
  2. Step 2: Convert to fraction form
    414,484.16/571,964.64 = 233,203.76/x
  3. Step 3: Cross multiply
    414,484.16x = 571,964.64 × 233,203.76
  4. Step 4: Simplify right side
    414,484.16x = 133,384,304,635.05
  5. Step 5: Solve for x
    x = 133,384,304,635.05/414,484.16
  6. Step 6: Final answer
    x = 321,807.97

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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.