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Finding the Fourth Proportional to 329,220.43, 493,859.81 and 92,565.16

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Solution

The fourth proportional to 329,220.43, 493,859.81 and 92,565.16 is: 138,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,220.43 : 493,859.81 = 92,565.16 : x
  2. Step 2: Convert to fraction form
    329,220.43/493,859.81 = 92,565.16/x
  3. Step 3: Cross multiply
    329,220.43x = 493,859.81 × 92,565.16
  4. Step 4: Simplify right side
    329,220.43x = 45,714,212,330.22
  5. Step 5: Solve for x
    x = 45,714,212,330.22/329,220.43
  6. Step 6: Final answer
    x = 138,855.94

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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.