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Finding the Fourth Proportional to 679,735, 1,019,536.26 and 206,424.46

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Solution

The fourth proportional to 679,735, 1,019,536.26 and 206,424.46 is: 309,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,735 : 1,019,536.26 = 206,424.46 : x
  2. Step 2: Convert to fraction form
    679,735/1,019,536.26 = 206,424.46/x
  3. Step 3: Cross multiply
    679,735x = 1,019,536.26 × 206,424.46
  4. Step 4: Simplify right side
    679,735x = 210,457,221,920.92
  5. Step 5: Solve for x
    x = 210,457,221,920.92/679,735
  6. Step 6: Final answer
    x = 309,616.57

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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.