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Finding the Fourth Proportional to 329,646.60, 494,544.47 and 105,019.83

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Solution

The fourth proportional to 329,646.60, 494,544.47 and 105,019.83 is: 157,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,646.60 : 494,544.47 = 105,019.83 : x
  2. Step 2: Convert to fraction form
    329,646.60/494,544.47 = 105,019.83/x
  3. Step 3: Cross multiply
    329,646.60x = 494,544.47 × 105,019.83
  4. Step 4: Simplify right side
    329,646.60x = 51,936,976,166.84
  5. Step 5: Solve for x
    x = 51,936,976,166.84/329,646.60
  6. Step 6: Final answer
    x = 157,553.50

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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.