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Finding the Fourth Proportional to 469,194.42, 703,832.40 and 132,237.30

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Solution

The fourth proportional to 469,194.42, 703,832.40 and 132,237.30 is: 198,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,194.42 : 703,832.40 = 132,237.30 : x
  2. Step 2: Convert to fraction form
    469,194.42/703,832.40 = 132,237.30/x
  3. Step 3: Cross multiply
    469,194.42x = 703,832.40 × 132,237.30
  4. Step 4: Simplify right side
    469,194.42x = 93,072,896,228.52
  5. Step 5: Solve for x
    x = 93,072,896,228.52/469,194.42
  6. Step 6: Final answer
    x = 198,367.44

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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.