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Finding the Fourth Proportional to 329,992.94, 494,997.95 and 105,353.19

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Solution

The fourth proportional to 329,992.94, 494,997.95 and 105,353.19 is: 158,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,992.94 : 494,997.95 = 105,353.19 : x
  2. Step 2: Convert to fraction form
    329,992.94/494,997.95 = 105,353.19/x
  3. Step 3: Cross multiply
    329,992.94x = 494,997.95 × 105,353.19
  4. Step 4: Simplify right side
    329,992.94x = 52,149,613,075.96
  5. Step 5: Solve for x
    x = 52,149,613,075.96/329,992.94
  6. Step 6: Final answer
    x = 158,032.51

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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.