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Finding the Fourth Proportional to 329,416, 494,080.32 and 92,777.28

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Solution

The fourth proportional to 329,416, 494,080.32 and 92,777.28 is: 139,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,416 : 494,080.32 = 92,777.28 : x
  2. Step 2: Convert to fraction form
    329,416/494,080.32 = 92,777.28/x
  3. Step 3: Cross multiply
    329,416x = 494,080.32 × 92,777.28
  4. Step 4: Simplify right side
    329,416x = 45,839,428,191.13
  5. Step 5: Solve for x
    x = 45,839,428,191.13/329,416
  6. Step 6: Final answer
    x = 139,153.62

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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.