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Finding the Fourth Proportional to 377,206.92, 565,868.82 and 177,548.40

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Solution

The fourth proportional to 377,206.92, 565,868.82 and 177,548.40 is: 266,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,206.92 : 565,868.82 = 177,548.40 : x
  2. Step 2: Convert to fraction form
    377,206.92/565,868.82 = 177,548.40/x
  3. Step 3: Cross multiply
    377,206.92x = 565,868.82 × 177,548.40
  4. Step 4: Simplify right side
    377,206.92x = 100,469,103,600.89
  5. Step 5: Solve for x
    x = 100,469,103,600.89/377,206.92
  6. Step 6: Final answer
    x = 266,350.11

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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.