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Finding the Fourth Proportional to 302,508.79, 417,454.50 and 166,541.38

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Solution

The fourth proportional to 302,508.79, 417,454.50 and 166,541.38 is: 229,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,508.79 : 417,454.50 = 166,541.38 : x
  2. Step 2: Convert to fraction form
    302,508.79/417,454.50 = 166,541.38/x
  3. Step 3: Cross multiply
    302,508.79x = 417,454.50 × 166,541.38
  4. Step 4: Simplify right side
    302,508.79x = 69,523,448,517.21
  5. Step 5: Solve for x
    x = 69,523,448,517.21/302,508.79
  6. Step 6: Final answer
    x = 229,822.90

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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.