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Finding the Fourth Proportional to 241,639.80, 362,459.70 and 206,647.80

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Solution

The fourth proportional to 241,639.80, 362,459.70 and 206,647.80 is: 309,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,639.80 : 362,459.70 = 206,647.80 : x
  2. Step 2: Convert to fraction form
    241,639.80/362,459.70 = 206,647.80/x
  3. Step 3: Cross multiply
    241,639.80x = 362,459.70 × 206,647.80
  4. Step 4: Simplify right side
    241,639.80x = 74,901,499,593.66
  5. Step 5: Solve for x
    x = 74,901,499,593.66/241,639.80
  6. Step 6: Final answer
    x = 309,971.70

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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.