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Finding the Fourth Proportional to 363,975.80, 545,834.10 and 164,391.80

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Solution

The fourth proportional to 363,975.80, 545,834.10 and 164,391.80 is: 246,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,975.80 : 545,834.10 = 164,391.80 : x
  2. Step 2: Convert to fraction form
    363,975.80/545,834.10 = 164,391.80/x
  3. Step 3: Cross multiply
    363,975.80x = 545,834.10 × 164,391.80
  4. Step 4: Simplify right side
    363,975.80x = 89,730,650,200.38
  5. Step 5: Solve for x
    x = 89,730,650,200.38/363,975.80
  6. Step 6: Final answer
    x = 246,529.17

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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.