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Finding the Fourth Proportional to 257,024.62, 354,651.66 and 161,463.64

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Solution

The fourth proportional to 257,024.62, 354,651.66 and 161,463.64 is: 222,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,024.62 : 354,651.66 = 161,463.64 : x
  2. Step 2: Convert to fraction form
    257,024.62/354,651.66 = 161,463.64/x
  3. Step 3: Cross multiply
    257,024.62x = 354,651.66 × 161,463.64
  4. Step 4: Simplify right side
    257,024.62x = 57,263,347,955.64
  5. Step 5: Solve for x
    x = 57,263,347,955.64/257,024.62
  6. Step 6: Final answer
    x = 222,793.24

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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.