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Finding the Fourth Proportional to 285,222.52, 393,616.26 and 164,354.20

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Solution

The fourth proportional to 285,222.52, 393,616.26 and 164,354.20 is: 226,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,222.52 : 393,616.26 = 164,354.20 : x
  2. Step 2: Convert to fraction form
    285,222.52/393,616.26 = 164,354.20/x
  3. Step 3: Cross multiply
    285,222.52x = 393,616.26 × 164,354.20
  4. Step 4: Simplify right side
    285,222.52x = 64,692,485,519.29
  5. Step 5: Solve for x
    x = 64,692,485,519.29/285,222.52
  6. Step 6: Final answer
    x = 226,814.09

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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.