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Finding the Fourth Proportional to 252,338.16, 378,508.80 and 74,846.64

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Solution

The fourth proportional to 252,338.16, 378,508.80 and 74,846.64 is: 112,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,338.16 : 378,508.80 = 74,846.64 : x
  2. Step 2: Convert to fraction form
    252,338.16/378,508.80 = 74,846.64/x
  3. Step 3: Cross multiply
    252,338.16x = 378,508.80 × 74,846.64
  4. Step 4: Simplify right side
    252,338.16x = 28,330,111,890.43
  5. Step 5: Solve for x
    x = 28,330,111,890.43/252,338.16
  6. Step 6: Final answer
    x = 112,270.42

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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.