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Finding the Fourth Proportional to 414,930, 572,569.32 and 233,584

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Solution

The fourth proportional to 414,930, 572,569.32 and 233,584 is: 322,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,930 : 572,569.32 = 233,584 : x
  2. Step 2: Convert to fraction form
    414,930/572,569.32 = 233,584/x
  3. Step 3: Cross multiply
    414,930x = 572,569.32 × 233,584
  4. Step 4: Simplify right side
    414,930x = 133,743,032,042.88
  5. Step 5: Solve for x
    x = 133,743,032,042.88/414,930
  6. Step 6: Final answer
    x = 322,326.73

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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.