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Finding the Fourth Proportional to 358,820.88, 538,231.31 and 148,464.28

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Solution

The fourth proportional to 358,820.88, 538,231.31 and 148,464.28 is: 222,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,820.88 : 538,231.31 = 148,464.28 : x
  2. Step 2: Convert to fraction form
    358,820.88/538,231.31 = 148,464.28/x
  3. Step 3: Cross multiply
    358,820.88x = 538,231.31 × 148,464.28
  4. Step 4: Simplify right side
    358,820.88x = 79,908,123,912.61
  5. Step 5: Solve for x
    x = 79,908,123,912.61/358,820.88
  6. Step 6: Final answer
    x = 222,696.42

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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.