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Finding the Fourth Proportional to 329,704.16, 494,550.84 and 105,061.53

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Solution

The fourth proportional to 329,704.16, 494,550.84 and 105,061.53 is: 157,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,704.16 : 494,550.84 = 105,061.53 : x
  2. Step 2: Convert to fraction form
    329,704.16/494,550.84 = 105,061.53/x
  3. Step 3: Cross multiply
    329,704.16x = 494,550.84 × 105,061.53
  4. Step 4: Simplify right side
    329,704.16x = 51,958,267,913.19
  5. Step 5: Solve for x
    x = 51,958,267,913.19/329,704.16
  6. Step 6: Final answer
    x = 157,590.57

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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.