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Finding the Fourth Proportional to 414,245.38, 571,653.19 and 232,957.25

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Solution

The fourth proportional to 414,245.38, 571,653.19 and 232,957.25 is: 321,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,245.38 : 571,653.19 = 232,957.25 : x
  2. Step 2: Convert to fraction form
    414,245.38/571,653.19 = 232,957.25/x
  3. Step 3: Cross multiply
    414,245.38x = 571,653.19 × 232,957.25
  4. Step 4: Simplify right side
    414,245.38x = 133,170,755,096.13
  5. Step 5: Solve for x
    x = 133,170,755,096.13/414,245.38
  6. Step 6: Final answer
    x = 321,477.95

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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.