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Finding the Fourth Proportional to 475,952.28, 714,146.28 and 206,162.88

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Solution

The fourth proportional to 475,952.28, 714,146.28 and 206,162.88 is: 309,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,952.28 : 714,146.28 = 206,162.88 : x
  2. Step 2: Convert to fraction form
    475,952.28/714,146.28 = 206,162.88/x
  3. Step 3: Cross multiply
    475,952.28x = 714,146.28 × 206,162.88
  4. Step 4: Simplify right side
    475,952.28x = 147,230,453,826.09
  5. Step 5: Solve for x
    x = 147,230,453,826.09/475,952.28
  6. Step 6: Final answer
    x = 309,338.69

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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.