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Finding the Fourth Proportional to 285,226.42, 393,653.64 and 164,344.54

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Solution

The fourth proportional to 285,226.42, 393,653.64 and 164,344.54 is: 226,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,226.42 : 393,653.64 = 164,344.54 : x
  2. Step 2: Convert to fraction form
    285,226.42/393,653.64 = 164,344.54/x
  3. Step 3: Cross multiply
    285,226.42x = 393,653.64 × 164,344.54
  4. Step 4: Simplify right side
    285,226.42x = 64,694,826,385.13
  5. Step 5: Solve for x
    x = 64,694,826,385.13/285,226.42
  6. Step 6: Final answer
    x = 226,819.19

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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.