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Finding the Fourth Proportional to 294,942.25, 442,415 and 73,326.25

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Solution

The fourth proportional to 294,942.25, 442,415 and 73,326.25 is: 109,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,942.25 : 442,415 = 73,326.25 : x
  2. Step 2: Convert to fraction form
    294,942.25/442,415 = 73,326.25/x
  3. Step 3: Cross multiply
    294,942.25x = 442,415 × 73,326.25
  4. Step 4: Simplify right side
    294,942.25x = 32,440,632,893.75
  5. Step 5: Solve for x
    x = 32,440,632,893.75/294,942.25
  6. Step 6: Final answer
    x = 109,989.78

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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.