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Finding the Fourth Proportional to 358,806.78, 538,204.41 and 122,314.14

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Solution

The fourth proportional to 358,806.78, 538,204.41 and 122,314.14 is: 183,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,806.78 : 538,204.41 = 122,314.14 : x
  2. Step 2: Convert to fraction form
    358,806.78/538,204.41 = 122,314.14/x
  3. Step 3: Cross multiply
    358,806.78x = 538,204.41 × 122,314.14
  4. Step 4: Simplify right side
    358,806.78x = 65,830,009,553.36
  5. Step 5: Solve for x
    x = 65,830,009,553.36/358,806.78
  6. Step 6: Final answer
    x = 183,469.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.