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Finding the Fourth Proportional to 315,234.52, 472,816.74 and 112,822.46

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Solution

The fourth proportional to 315,234.52, 472,816.74 and 112,822.46 is: 169,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,234.52 : 472,816.74 = 112,822.46 : x
  2. Step 2: Convert to fraction form
    315,234.52/472,816.74 = 112,822.46/x
  3. Step 3: Cross multiply
    315,234.52x = 472,816.74 × 112,822.46
  4. Step 4: Simplify right side
    315,234.52x = 53,344,345,371.90
  5. Step 5: Solve for x
    x = 53,344,345,371.90/315,234.52
  6. Step 6: Final answer
    x = 169,221.14

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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.