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Finding the Fourth Proportional to 382,576.29, 527,959.31 and 210,496.51

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Solution

The fourth proportional to 382,576.29, 527,959.31 and 210,496.51 is: 290,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,576.29 : 527,959.31 = 210,496.51 : x
  2. Step 2: Convert to fraction form
    382,576.29/527,959.31 = 210,496.51/x
  3. Step 3: Cross multiply
    382,576.29x = 527,959.31 × 210,496.51
  4. Step 4: Simplify right side
    382,576.29x = 111,133,592,177.01
  5. Step 5: Solve for x
    x = 111,133,592,177.01/382,576.29
  6. Step 6: Final answer
    x = 290,487.40

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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.