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Finding the Fourth Proportional to 469,287.82, 703,895.01 and 132,314.86

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Solution

The fourth proportional to 469,287.82, 703,895.01 and 132,314.86 is: 198,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,287.82 : 703,895.01 = 132,314.86 : x
  2. Step 2: Convert to fraction form
    469,287.82/703,895.01 = 132,314.86/x
  3. Step 3: Cross multiply
    469,287.82x = 703,895.01 × 132,314.86
  4. Step 4: Simplify right side
    469,287.82x = 93,135,769,702.85
  5. Step 5: Solve for x
    x = 93,135,769,702.85/469,287.82
  6. Step 6: Final answer
    x = 198,461.94

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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.