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Finding the Fourth Proportional to 461,204.40, 691,806.60 and 162,022.80

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Solution

The fourth proportional to 461,204.40, 691,806.60 and 162,022.80 is: 243,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,204.40 : 691,806.60 = 162,022.80 : x
  2. Step 2: Convert to fraction form
    461,204.40/691,806.60 = 162,022.80/x
  3. Step 3: Cross multiply
    461,204.40x = 691,806.60 × 162,022.80
  4. Step 4: Simplify right side
    461,204.40x = 112,088,442,390.48
  5. Step 5: Solve for x
    x = 112,088,442,390.48/461,204.40
  6. Step 6: Final answer
    x = 243,034.20

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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.