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Finding the Fourth Proportional to 414,245.88, 571,653.87 and 232,957.76

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Solution

The fourth proportional to 414,245.88, 571,653.87 and 232,957.76 is: 321,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,245.88 : 571,653.87 = 232,957.76 : x
  2. Step 2: Convert to fraction form
    414,245.88/571,653.87 = 232,957.76/x
  3. Step 3: Cross multiply
    414,245.88x = 571,653.87 × 232,957.76
  4. Step 4: Simplify right side
    414,245.88x = 133,171,202,192.26
  5. Step 5: Solve for x
    x = 133,171,202,192.26/414,245.88
  6. Step 6: Final answer
    x = 321,478.64

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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.