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Finding the Fourth Proportional to 643,640.22, 965,467.44 and 194,364.90

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Solution

The fourth proportional to 643,640.22, 965,467.44 and 194,364.90 is: 291,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,640.22 : 965,467.44 = 194,364.90 : x
  2. Step 2: Convert to fraction form
    643,640.22/965,467.44 = 194,364.90/x
  3. Step 3: Cross multiply
    643,640.22x = 965,467.44 × 194,364.90
  4. Step 4: Simplify right side
    643,640.22x = 187,652,982,428.86
  5. Step 5: Solve for x
    x = 187,652,982,428.86/643,640.22
  6. Step 6: Final answer
    x = 291,549.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.