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Finding the Fourth Proportional to 410,794.13, 566,892.02 and 229,537.28

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Solution

The fourth proportional to 410,794.13, 566,892.02 and 229,537.28 is: 316,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,794.13 : 566,892.02 = 229,537.28 : x
  2. Step 2: Convert to fraction form
    410,794.13/566,892.02 = 229,537.28/x
  3. Step 3: Cross multiply
    410,794.13x = 566,892.02 × 229,537.28
  4. Step 4: Simplify right side
    410,794.13x = 130,122,852,324.51
  5. Step 5: Solve for x
    x = 130,122,852,324.51/410,794.13
  6. Step 6: Final answer
    x = 316,759.28

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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.