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Finding the Fourth Proportional to 302,274.64, 417,142.20 and 166,310.38

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Solution

The fourth proportional to 302,274.64, 417,142.20 and 166,310.38 is: 229,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,274.64 : 417,142.20 = 166,310.38 : x
  2. Step 2: Convert to fraction form
    302,274.64/417,142.20 = 166,310.38/x
  3. Step 3: Cross multiply
    302,274.64x = 417,142.20 × 166,310.38
  4. Step 4: Simplify right side
    302,274.64x = 69,375,077,796.04
  5. Step 5: Solve for x
    x = 69,375,077,796.04/302,274.64
  6. Step 6: Final answer
    x = 229,510.08

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1.5x scale

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.