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Finding the Fourth Proportional to 384,773.85, 576,657.45 and 206,897.85

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Solution

The fourth proportional to 384,773.85, 576,657.45 and 206,897.85 is: 310,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,773.85 : 576,657.45 = 206,897.85 : x
  2. Step 2: Convert to fraction form
    384,773.85/576,657.45 = 206,897.85/x
  3. Step 3: Cross multiply
    384,773.85x = 576,657.45 × 206,897.85
  4. Step 4: Simplify right side
    384,773.85x = 119,309,186,591.48
  5. Step 5: Solve for x
    x = 119,309,186,591.48/384,773.85
  6. Step 6: Final answer
    x = 310,076.13

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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.