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Finding the Fourth Proportional to 414,752.52, 572,351.94 and 233,463.96

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Solution

The fourth proportional to 414,752.52, 572,351.94 and 233,463.96 is: 322,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,752.52 : 572,351.94 = 233,463.96 : x
  2. Step 2: Convert to fraction form
    414,752.52/572,351.94 = 233,463.96/x
  3. Step 3: Cross multiply
    414,752.52x = 572,351.94 × 233,463.96
  4. Step 4: Simplify right side
    414,752.52x = 133,623,550,426.08
  5. Step 5: Solve for x
    x = 133,623,550,426.08/414,752.52
  6. Step 6: Final answer
    x = 322,176.58

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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.