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Finding the Fourth Proportional to 262,838.34, 394,270.47 and 73,298.34

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Solution

The fourth proportional to 262,838.34, 394,270.47 and 73,298.34 is: 109,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,838.34 : 394,270.47 = 73,298.34 : x
  2. Step 2: Convert to fraction form
    262,838.34/394,270.47 = 73,298.34/x
  3. Step 3: Cross multiply
    262,838.34x = 394,270.47 × 73,298.34
  4. Step 4: Simplify right side
    262,838.34x = 28,899,370,962.02
  5. Step 5: Solve for x
    x = 28,899,370,962.02/262,838.34
  6. Step 6: Final answer
    x = 109,951.12

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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.