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Finding the Fourth Proportional to 441,409.98, 661,655.25 and 204,558.06

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Solution

The fourth proportional to 441,409.98, 661,655.25 and 204,558.06 is: 306,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,409.98 : 661,655.25 = 204,558.06 : x
  2. Step 2: Convert to fraction form
    441,409.98/661,655.25 = 204,558.06/x
  3. Step 3: Cross multiply
    441,409.98x = 661,655.25 × 204,558.06
  4. Step 4: Simplify right side
    441,409.98x = 135,346,914,328.82
  5. Step 5: Solve for x
    x = 135,346,914,328.82/441,409.98
  6. Step 6: Final answer
    x = 306,624.05

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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.