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Finding the Fourth Proportional to 496,216.05, 684,932.33 and 394,422.14

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Solution

The fourth proportional to 496,216.05, 684,932.33 and 394,422.14 is: 544,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,216.05 : 684,932.33 = 394,422.14 : x
  2. Step 2: Convert to fraction form
    496,216.05/684,932.33 = 394,422.14/x
  3. Step 3: Cross multiply
    496,216.05x = 684,932.33 × 394,422.14
  4. Step 4: Simplify right side
    496,216.05x = 270,152,472,915.18
  5. Step 5: Solve for x
    x = 270,152,472,915.18/496,216.05
  6. Step 6: Final answer
    x = 544,425.10

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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.