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Finding the Fourth Proportional to 279,810.40, 419,561.70 and 191,164

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Solution

The fourth proportional to 279,810.40, 419,561.70 and 191,164 is: 286,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,810.40 : 419,561.70 = 191,164 : x
  2. Step 2: Convert to fraction form
    279,810.40/419,561.70 = 191,164/x
  3. Step 3: Cross multiply
    279,810.40x = 419,561.70 × 191,164
  4. Step 4: Simplify right side
    279,810.40x = 80,205,092,818.80
  5. Step 5: Solve for x
    x = 80,205,092,818.80/279,810.40
  6. Step 6: Final answer
    x = 286,640.86

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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.