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Finding the Fourth Proportional to 414,928, 572,566.56 and 233,582

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Solution

The fourth proportional to 414,928, 572,566.56 and 233,582 is: 322,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,928 : 572,566.56 = 233,582 : x
  2. Step 2: Convert to fraction form
    414,928/572,566.56 = 233,582/x
  3. Step 3: Cross multiply
    414,928x = 572,566.56 × 233,582
  4. Step 4: Simplify right side
    414,928x = 133,741,242,217.92
  5. Step 5: Solve for x
    x = 133,741,242,217.92/414,928
  6. Step 6: Final answer
    x = 322,323.97

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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.