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Finding the Fourth Proportional to 414,425.72, 571,906.65 and 233,137.77

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Solution

The fourth proportional to 414,425.72, 571,906.65 and 233,137.77 is: 321,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,425.72 : 571,906.65 = 233,137.77 : x
  2. Step 2: Convert to fraction form
    414,425.72/571,906.65 = 233,137.77/x
  3. Step 3: Cross multiply
    414,425.72x = 571,906.65 × 233,137.77
  4. Step 4: Simplify right side
    414,425.72x = 133,333,041,029.17
  5. Step 5: Solve for x
    x = 133,333,041,029.17/414,425.72
  6. Step 6: Final answer
    x = 321,729.65

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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.