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Finding the Fourth Proportional to 509,820.36, 764,283.42 and 194,067.24

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Solution

The fourth proportional to 509,820.36, 764,283.42 and 194,067.24 is: 290,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,820.36 : 764,283.42 = 194,067.24 : x
  2. Step 2: Convert to fraction form
    509,820.36/764,283.42 = 194,067.24/x
  3. Step 3: Cross multiply
    509,820.36x = 764,283.42 × 194,067.24
  4. Step 4: Simplify right side
    509,820.36x = 148,322,373,897.16
  5. Step 5: Solve for x
    x = 148,322,373,897.16/509,820.36
  6. Step 6: Final answer
    x = 290,930.66

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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.