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Finding the Fourth Proportional to 413,232.13, 570,229.38 and 229,481.07

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Solution

The fourth proportional to 413,232.13, 570,229.38 and 229,481.07 is: 316,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,232.13 : 570,229.38 = 229,481.07 : x
  2. Step 2: Convert to fraction form
    413,232.13/570,229.38 = 229,481.07/x
  3. Step 3: Cross multiply
    413,232.13x = 570,229.38 × 229,481.07
  4. Step 4: Simplify right side
    413,232.13x = 130,856,845,416.69
  5. Step 5: Solve for x
    x = 130,856,845,416.69/413,232.13
  6. Step 6: Final answer
    x = 316,666.68

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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.