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Finding the Fourth Proportional to 414,414.96, 571,891.83 and 233,127.03

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Solution

The fourth proportional to 414,414.96, 571,891.83 and 233,127.03 is: 321,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,414.96 : 571,891.83 = 233,127.03 : x
  2. Step 2: Convert to fraction form
    414,414.96/571,891.83 = 233,127.03/x
  3. Step 3: Cross multiply
    414,414.96x = 571,891.83 × 233,127.03
  4. Step 4: Simplify right side
    414,414.96x = 133,323,441,862.64
  5. Step 5: Solve for x
    x = 133,323,441,862.64/414,414.96
  6. Step 6: Final answer
    x = 321,714.84

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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.