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Finding the Fourth Proportional to 286,997.98, 430,593.85 and 127,051.85

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Solution

The fourth proportional to 286,997.98, 430,593.85 and 127,051.85 is: 190,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,997.98 : 430,593.85 = 127,051.85 : x
  2. Step 2: Convert to fraction form
    286,997.98/430,593.85 = 127,051.85/x
  3. Step 3: Cross multiply
    286,997.98x = 430,593.85 × 127,051.85
  4. Step 4: Simplify right side
    286,997.98x = 54,707,742,770.52
  5. Step 5: Solve for x
    x = 54,707,742,770.52/286,997.98
  6. Step 6: Final answer
    x = 190,620.66

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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.