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Finding the Fourth Proportional to 329,703.68, 494,216.24 and 149,914.16

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Solution

The fourth proportional to 329,703.68, 494,216.24 and 149,914.16 is: 224,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,703.68 : 494,216.24 = 149,914.16 : x
  2. Step 2: Convert to fraction form
    329,703.68/494,216.24 = 149,914.16/x
  3. Step 3: Cross multiply
    329,703.68x = 494,216.24 × 149,914.16
  4. Step 4: Simplify right side
    329,703.68x = 74,090,012,477.96
  5. Step 5: Solve for x
    x = 74,090,012,477.96/329,703.68
  6. Step 6: Final answer
    x = 224,716.97

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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.