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Finding the Fourth Proportional to 302,452.79, 417,381.60 and 166,483.84

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Solution

The fourth proportional to 302,452.79, 417,381.60 and 166,483.84 is: 229,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,452.79 : 417,381.60 = 166,483.84 : x
  2. Step 2: Convert to fraction form
    302,452.79/417,381.60 = 166,483.84/x
  3. Step 3: Cross multiply
    302,452.79x = 417,381.60 × 166,483.84
  4. Step 4: Simplify right side
    302,452.79x = 69,487,290,879.32
  5. Step 5: Solve for x
    x = 69,487,290,879.32/302,452.79
  6. Step 6: Final answer
    x = 229,745.91

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Why These Related Problems?

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