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Finding the Fourth Proportional to 402,679.54, 604,022.94 and 122,196.78

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Solution

The fourth proportional to 402,679.54, 604,022.94 and 122,196.78 is: 183,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,679.54 : 604,022.94 = 122,196.78 : x
  2. Step 2: Convert to fraction form
    402,679.54/604,022.94 = 122,196.78/x
  3. Step 3: Cross multiply
    402,679.54x = 604,022.94 × 122,196.78
  4. Step 4: Simplify right side
    402,679.54x = 73,809,658,314.13
  5. Step 5: Solve for x
    x = 73,809,658,314.13/402,679.54
  6. Step 6: Final answer
    x = 183,296.27

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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.