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Finding the Fourth Proportional to 384,249.80, 576,374.70 and 266,151.80

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Solution

The fourth proportional to 384,249.80, 576,374.70 and 266,151.80 is: 399,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,249.80 : 576,374.70 = 266,151.80 : x
  2. Step 2: Convert to fraction form
    384,249.80/576,374.70 = 266,151.80/x
  3. Step 3: Cross multiply
    384,249.80x = 576,374.70 × 266,151.80
  4. Step 4: Simplify right side
    384,249.80x = 153,403,163,879.46
  5. Step 5: Solve for x
    x = 153,403,163,879.46/384,249.80
  6. Step 6: Final answer
    x = 399,227.70

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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.