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Finding the Fourth Proportional to 359,180.64, 538,927.56 and 192,774.24

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Solution

The fourth proportional to 359,180.64, 538,927.56 and 192,774.24 is: 289,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,180.64 : 538,927.56 = 192,774.24 : x
  2. Step 2: Convert to fraction form
    359,180.64/538,927.56 = 192,774.24/x
  3. Step 3: Cross multiply
    359,180.64x = 538,927.56 × 192,774.24
  4. Step 4: Simplify right side
    359,180.64x = 103,891,350,794.05
  5. Step 5: Solve for x
    x = 103,891,350,794.05/359,180.64
  6. Step 6: Final answer
    x = 289,245.41

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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.