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Finding the Fourth Proportional to 421,850.54, 632,645.42 and 122,353.13

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Solution

The fourth proportional to 421,850.54, 632,645.42 and 122,353.13 is: 183,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,850.54 : 632,645.42 = 122,353.13 : x
  2. Step 2: Convert to fraction form
    421,850.54/632,645.42 = 122,353.13/x
  3. Step 3: Cross multiply
    421,850.54x = 632,645.42 × 122,353.13
  4. Step 4: Simplify right side
    421,850.54x = 77,406,143,542.17
  5. Step 5: Solve for x
    x = 77,406,143,542.17/421,850.54
  6. Step 6: Final answer
    x = 183,491.87

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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.