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Finding the Fourth Proportional to 313,689.92, 432,843.36 and 186,362.24

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Solution

The fourth proportional to 313,689.92, 432,843.36 and 186,362.24 is: 257,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,689.92 : 432,843.36 = 186,362.24 : x
  2. Step 2: Convert to fraction form
    313,689.92/432,843.36 = 186,362.24/x
  3. Step 3: Cross multiply
    313,689.92x = 432,843.36 × 186,362.24
  4. Step 4: Simplify right side
    313,689.92x = 80,665,658,138.73
  5. Step 5: Solve for x
    x = 80,665,658,138.73/313,689.92
  6. Step 6: Final answer
    x = 257,150.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.