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Finding the Fourth Proportional to 462,101.67, 693,231.32 and 206,027.15

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Solution

The fourth proportional to 462,101.67, 693,231.32 and 206,027.15 is: 309,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,101.67 : 693,231.32 = 206,027.15 : x
  2. Step 2: Convert to fraction form
    462,101.67/693,231.32 = 206,027.15/x
  3. Step 3: Cross multiply
    462,101.67x = 693,231.32 × 206,027.15
  4. Step 4: Simplify right side
    462,101.67x = 142,824,473,150.34
  5. Step 5: Solve for x
    x = 142,824,473,150.34/462,101.67
  6. Step 6: Final answer
    x = 309,075.86

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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.