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Finding the Fourth Proportional to 313,662.92, 432,806.10 and 186,335.24

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Solution

The fourth proportional to 313,662.92, 432,806.10 and 186,335.24 is: 257,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,662.92 : 432,806.10 = 186,335.24 : x
  2. Step 2: Convert to fraction form
    313,662.92/432,806.10 = 186,335.24/x
  3. Step 3: Cross multiply
    313,662.92x = 432,806.10 × 186,335.24
  4. Step 4: Simplify right side
    313,662.92x = 80,647,028,516.96
  5. Step 5: Solve for x
    x = 80,647,028,516.96/313,662.92
  6. Step 6: Final answer
    x = 257,113.68

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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.