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Finding the Fourth Proportional to 386,644.13, 579,190.14 and 197,096.84

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Solution

The fourth proportional to 386,644.13, 579,190.14 and 197,096.84 is: 295,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,644.13 : 579,190.14 = 197,096.84 : x
  2. Step 2: Convert to fraction form
    386,644.13/579,190.14 = 197,096.84/x
  3. Step 3: Cross multiply
    386,644.13x = 579,190.14 × 197,096.84
  4. Step 4: Simplify right side
    386,644.13x = 114,156,543,457.21
  5. Step 5: Solve for x
    x = 114,156,543,457.21/386,644.13
  6. Step 6: Final answer
    x = 295,249.65

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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.