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Finding the Fourth Proportional to 314,493.22, 471,346.04 and 247,669.44

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Solution

The fourth proportional to 314,493.22, 471,346.04 and 247,669.44 is: 371,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,493.22 : 471,346.04 = 247,669.44 : x
  2. Step 2: Convert to fraction form
    314,493.22/471,346.04 = 247,669.44/x
  3. Step 3: Cross multiply
    314,493.22x = 471,346.04 × 247,669.44
  4. Step 4: Simplify right side
    314,493.22x = 116,738,006,177.94
  5. Step 5: Solve for x
    x = 116,738,006,177.94/314,493.22
  6. Step 6: Final answer
    x = 371,194.03

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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.