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Finding the Fourth Proportional to 414,696.42, 572,282.10 and 233,411.04

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Solution

The fourth proportional to 414,696.42, 572,282.10 and 233,411.04 is: 322,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,696.42 : 572,282.10 = 233,411.04 : x
  2. Step 2: Convert to fraction form
    414,696.42/572,282.10 = 233,411.04/x
  3. Step 3: Cross multiply
    414,696.42x = 572,282.10 × 233,411.04
  4. Step 4: Simplify right side
    414,696.42x = 133,576,960,134.38
  5. Step 5: Solve for x
    x = 133,576,960,134.38/414,696.42
  6. Step 6: Final answer
    x = 322,107.82

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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.