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Finding the Fourth Proportional to 359,188.44, 538,782.66 and 199,362.48

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Solution

The fourth proportional to 359,188.44, 538,782.66 and 199,362.48 is: 299,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,188.44 : 538,782.66 = 199,362.48 : x
  2. Step 2: Convert to fraction form
    359,188.44/538,782.66 = 199,362.48/x
  3. Step 3: Cross multiply
    359,188.44x = 538,782.66 × 199,362.48
  4. Step 4: Simplify right side
    359,188.44x = 107,413,047,278.60
  5. Step 5: Solve for x
    x = 107,413,047,278.60/359,188.44
  6. Step 6: Final answer
    x = 299,043.72

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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.