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Finding the Fourth Proportional to 302,684.94, 417,708.03 and 166,719.38

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Solution

The fourth proportional to 302,684.94, 417,708.03 and 166,719.38 is: 230,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,684.94 : 417,708.03 = 166,719.38 : x
  2. Step 2: Convert to fraction form
    302,684.94/417,708.03 = 166,719.38/x
  3. Step 3: Cross multiply
    302,684.94x = 417,708.03 × 166,719.38
  4. Step 4: Simplify right side
    302,684.94x = 69,640,023,782.62
  5. Step 5: Solve for x
    x = 69,640,023,782.62/302,684.94
  6. Step 6: Final answer
    x = 230,074.29

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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.