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Finding the Fourth Proportional to 359,219.88, 538,846.11 and 122,564.52

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Solution

The fourth proportional to 359,219.88, 538,846.11 and 122,564.52 is: 183,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,219.88 : 538,846.11 = 122,564.52 : x
  2. Step 2: Convert to fraction form
    359,219.88/538,846.11 = 122,564.52/x
  3. Step 3: Cross multiply
    359,219.88x = 538,846.11 × 122,564.52
  4. Step 4: Simplify right side
    359,219.88x = 66,043,414,826.02
  5. Step 5: Solve for x
    x = 66,043,414,826.02/359,219.88
  6. Step 6: Final answer
    x = 183,852.34

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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.