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Finding the Fourth Proportional to 589,276.32, 813,220.86 and 331,198.16

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Solution

The fourth proportional to 589,276.32, 813,220.86 and 331,198.16 is: 457,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,276.32 : 813,220.86 = 331,198.16 : x
  2. Step 2: Convert to fraction form
    589,276.32/813,220.86 = 331,198.16/x
  3. Step 3: Cross multiply
    589,276.32x = 813,220.86 × 331,198.16
  4. Step 4: Simplify right side
    589,276.32x = 269,337,252,505.62
  5. Step 5: Solve for x
    x = 269,337,252,505.62/589,276.32
  6. Step 6: Final answer
    x = 457,064.44

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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.