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Finding the Fourth Proportional to 302,000.17, 416,760.49 and 166,036.43

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Solution

The fourth proportional to 302,000.17, 416,760.49 and 166,036.43 is: 229,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,000.17 : 416,760.49 = 166,036.43 : x
  2. Step 2: Convert to fraction form
    302,000.17/416,760.49 = 166,036.43/x
  3. Step 3: Cross multiply
    302,000.17x = 416,760.49 × 166,036.43
  4. Step 4: Simplify right side
    302,000.17x = 69,197,422,255.94
  5. Step 5: Solve for x
    x = 69,197,422,255.94/302,000.17
  6. Step 6: Final answer
    x = 229,130.41

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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.