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Finding the Fourth Proportional to 302,550.52, 417,505.14 and 166,581.64

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Solution

The fourth proportional to 302,550.52, 417,505.14 and 166,581.64 is: 229,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,550.52 : 417,505.14 = 166,581.64 : x
  2. Step 2: Convert to fraction form
    302,550.52/417,505.14 = 166,581.64/x
  3. Step 3: Cross multiply
    302,550.52x = 417,505.14 × 166,581.64
  4. Step 4: Simplify right side
    302,550.52x = 69,548,690,929.63
  5. Step 5: Solve for x
    x = 69,548,690,929.63/302,550.52
  6. Step 6: Final answer
    x = 229,874.64

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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.