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Finding the Fourth Proportional to 338,005.71, 465,908.76 and 229,076.10

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Solution

The fourth proportional to 338,005.71, 465,908.76 and 229,076.10 is: 315,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,005.71 : 465,908.76 = 229,076.10 : x
  2. Step 2: Convert to fraction form
    338,005.71/465,908.76 = 229,076.10/x
  3. Step 3: Cross multiply
    338,005.71x = 465,908.76 × 229,076.10
  4. Step 4: Simplify right side
    338,005.71x = 106,728,561,696.64
  5. Step 5: Solve for x
    x = 106,728,561,696.64/338,005.71
  6. Step 6: Final answer
    x = 315,759.64

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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.