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Finding the Fourth Proportional to 314,637.94, 471,640.89 and 101,249.03

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Solution

The fourth proportional to 314,637.94, 471,640.89 and 101,249.03 is: 151,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,637.94 : 471,640.89 = 101,249.03 : x
  2. Step 2: Convert to fraction form
    314,637.94/471,640.89 = 101,249.03/x
  3. Step 3: Cross multiply
    314,637.94x = 471,640.89 × 101,249.03
  4. Step 4: Simplify right side
    314,637.94x = 47,753,182,620.84
  5. Step 5: Solve for x
    x = 47,753,182,620.84/314,637.94
  6. Step 6: Final answer
    x = 151,771.85

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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.