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Finding the Fourth Proportional to 266,051.70, 399,077.56 and 266,051.70

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Solution

The fourth proportional to 266,051.70, 399,077.56 and 266,051.70 is: 399,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,051.70 : 399,077.56 = 266,051.70 : x
  2. Step 2: Convert to fraction form
    266,051.70/399,077.56 = 266,051.70/x
  3. Step 3: Cross multiply
    266,051.70x = 399,077.56 × 266,051.70
  4. Step 4: Simplify right side
    266,051.70x = 106,175,263,269.85
  5. Step 5: Solve for x
    x = 106,175,263,269.85/266,051.70
  6. Step 6: Final answer
    x = 399,077.56

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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.