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Finding the Fourth Proportional to 320,544.92, 480,392.67 and 170,462.05

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Solution

The fourth proportional to 320,544.92, 480,392.67 and 170,462.05 is: 255,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,544.92 : 480,392.67 = 170,462.05 : x
  2. Step 2: Convert to fraction form
    320,544.92/480,392.67 = 170,462.05/x
  3. Step 3: Cross multiply
    320,544.92x = 480,392.67 × 170,462.05
  4. Step 4: Simplify right side
    320,544.92x = 81,888,718,771.42
  5. Step 5: Solve for x
    x = 81,888,718,771.42/320,544.92
  6. Step 6: Final answer
    x = 255,467.22

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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.