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Finding the Fourth Proportional to 475,945.26, 714,135.78 and 206,155.88

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Solution

The fourth proportional to 475,945.26, 714,135.78 and 206,155.88 is: 309,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,945.26 : 714,135.78 = 206,155.88 : x
  2. Step 2: Convert to fraction form
    475,945.26/714,135.78 = 206,155.88/x
  3. Step 3: Cross multiply
    475,945.26x = 714,135.78 × 206,155.88
  4. Step 4: Simplify right side
    475,945.26x = 147,223,290,165.39
  5. Step 5: Solve for x
    x = 147,223,290,165.39/475,945.26
  6. Step 6: Final answer
    x = 309,328.20

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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.