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Finding the Fourth Proportional to 302,334.74, 417,221.11 and 166,377.50

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Solution

The fourth proportional to 302,334.74, 417,221.11 and 166,377.50 is: 229,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,334.74 : 417,221.11 = 166,377.50 : x
  2. Step 2: Convert to fraction form
    302,334.74/417,221.11 = 166,377.50/x
  3. Step 3: Cross multiply
    302,334.74x = 417,221.11 × 166,377.50
  4. Step 4: Simplify right side
    302,334.74x = 69,416,205,229.03
  5. Step 5: Solve for x
    x = 69,416,205,229.03/302,334.74
  6. Step 6: Final answer
    x = 229,600.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.