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Finding the Fourth Proportional to 315,302.48, 471,844.20 and 197,029.52

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Solution

The fourth proportional to 315,302.48, 471,844.20 and 197,029.52 is: 294,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,302.48 : 471,844.20 = 197,029.52 : x
  2. Step 2: Convert to fraction form
    315,302.48/471,844.20 = 197,029.52/x
  3. Step 3: Cross multiply
    315,302.48x = 471,844.20 × 197,029.52
  4. Step 4: Simplify right side
    315,302.48x = 92,967,236,240.78
  5. Step 5: Solve for x
    x = 92,967,236,240.78/315,302.48
  6. Step 6: Final answer
    x = 294,850.95

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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.