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Finding the Fourth Proportional to 643,398.30, 965,104.43 and 194,123.16

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Solution

The fourth proportional to 643,398.30, 965,104.43 and 194,123.16 is: 291,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,398.30 : 965,104.43 = 194,123.16 : x
  2. Step 2: Convert to fraction form
    643,398.30/965,104.43 = 194,123.16/x
  3. Step 3: Cross multiply
    643,398.30x = 965,104.43 × 194,123.16
  4. Step 4: Simplify right side
    643,398.30x = 187,349,120,710.98
  5. Step 5: Solve for x
    x = 187,349,120,710.98/643,398.30
  6. Step 6: Final answer
    x = 291,186.84

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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.