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Finding the Fourth Proportional to 314,493.72, 471,346.79 and 247,669.94

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Solution

The fourth proportional to 314,493.72, 471,346.79 and 247,669.94 is: 371,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,493.72 : 471,346.79 = 247,669.94 : x
  2. Step 2: Convert to fraction form
    314,493.72/471,346.79 = 247,669.94/x
  3. Step 3: Cross multiply
    314,493.72x = 471,346.79 × 247,669.94
  4. Step 4: Simplify right side
    314,493.72x = 116,738,427,603.41
  5. Step 5: Solve for x
    x = 116,738,427,603.41/314,493.72
  6. Step 6: Final answer
    x = 371,194.78

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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.