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Finding the Fourth Proportional to 461,969.70, 692,834.26 and 195,593.10

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Solution

The fourth proportional to 461,969.70, 692,834.26 and 195,593.10 is: 293,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,969.70 : 692,834.26 = 195,593.10 : x
  2. Step 2: Convert to fraction form
    461,969.70/692,834.26 = 195,593.10/x
  3. Step 3: Cross multiply
    461,969.70x = 692,834.26 × 195,593.10
  4. Step 4: Simplify right side
    461,969.70x = 135,513,597,979.23
  5. Step 5: Solve for x
    x = 135,513,597,979.23/461,969.70
  6. Step 6: Final answer
    x = 293,338.72

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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.