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Finding the Fourth Proportional to 377,677.66, 565,701 and 177,698.38

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Solution

The fourth proportional to 377,677.66, 565,701 and 177,698.38 is: 266,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,677.66 : 565,701 = 177,698.38 : x
  2. Step 2: Convert to fraction form
    377,677.66/565,701 = 177,698.38/x
  3. Step 3: Cross multiply
    377,677.66x = 565,701 × 177,698.38
  4. Step 4: Simplify right side
    377,677.66x = 100,524,151,264.38
  5. Step 5: Solve for x
    x = 100,524,151,264.38/377,677.66
  6. Step 6: Final answer
    x = 266,163.88

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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.