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Finding the Fourth Proportional to 270,877.29, 406,713.83 and 266,093.40

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Solution

The fourth proportional to 270,877.29, 406,713.83 and 266,093.40 is: 399,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,877.29 : 406,713.83 = 266,093.40 : x
  2. Step 2: Convert to fraction form
    270,877.29/406,713.83 = 266,093.40/x
  3. Step 3: Cross multiply
    270,877.29x = 406,713.83 × 266,093.40
  4. Step 4: Simplify right side
    270,877.29x = 108,223,865,320.85
  5. Step 5: Solve for x
    x = 108,223,865,320.85/270,877.29
  6. Step 6: Final answer
    x = 399,530.96

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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.