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Finding the Fourth Proportional to 469,099.49, 703,649.25 and 188,551.13

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Solution

The fourth proportional to 469,099.49, 703,649.25 and 188,551.13 is: 282,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,099.49 : 703,649.25 = 188,551.13 : x
  2. Step 2: Convert to fraction form
    469,099.49/703,649.25 = 188,551.13/x
  3. Step 3: Cross multiply
    469,099.49x = 703,649.25 × 188,551.13
  4. Step 4: Simplify right side
    469,099.49x = 132,673,857,692.91
  5. Step 5: Solve for x
    x = 132,673,857,692.91/469,099.49
  6. Step 6: Final answer
    x = 282,826.70

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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.