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Finding the Fourth Proportional to 358,047.11, 494,118.02 and 205,114.86

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Solution

The fourth proportional to 358,047.11, 494,118.02 and 205,114.86 is: 283,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,047.11 : 494,118.02 = 205,114.86 : x
  2. Step 2: Convert to fraction form
    358,047.11/494,118.02 = 205,114.86/x
  3. Step 3: Cross multiply
    358,047.11x = 494,118.02 × 205,114.86
  4. Step 4: Simplify right side
    358,047.11x = 101,350,949,008.56
  5. Step 5: Solve for x
    x = 101,350,949,008.56/358,047.11
  6. Step 6: Final answer
    x = 283,065.96

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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.