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Finding the Fourth Proportional to 410,874, 567,032.49 and 229,586.46

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Solution

The fourth proportional to 410,874, 567,032.49 and 229,586.46 is: 316,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,874 : 567,032.49 = 229,586.46 : x
  2. Step 2: Convert to fraction form
    410,874/567,032.49 = 229,586.46/x
  3. Step 3: Cross multiply
    410,874x = 567,032.49 × 229,586.46
  4. Step 4: Simplify right side
    410,874x = 130,182,982,084.09
  5. Step 5: Solve for x
    x = 130,182,982,084.09/410,874
  6. Step 6: Final answer
    x = 316,844.05

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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.