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Finding the Fourth Proportional to 469,025.40, 703,883.70 and 188,743.80

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Solution

The fourth proportional to 469,025.40, 703,883.70 and 188,743.80 is: 283,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,025.40 : 703,883.70 = 188,743.80 : x
  2. Step 2: Convert to fraction form
    469,025.40/703,883.70 = 188,743.80/x
  3. Step 3: Cross multiply
    469,025.40x = 703,883.70 × 188,743.80
  4. Step 4: Simplify right side
    469,025.40x = 132,853,684,296.06
  5. Step 5: Solve for x
    x = 132,853,684,296.06/469,025.40
  6. Step 6: Final answer
    x = 283,254.78

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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.