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Finding the Fourth Proportional to 463,458.80, 695,299.20 and 193,436.80

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Solution

The fourth proportional to 463,458.80, 695,299.20 and 193,436.80 is: 290,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,458.80 : 695,299.20 = 193,436.80 : x
  2. Step 2: Convert to fraction form
    463,458.80/695,299.20 = 193,436.80/x
  3. Step 3: Cross multiply
    463,458.80x = 695,299.20 × 193,436.80
  4. Step 4: Simplify right side
    463,458.80x = 134,496,452,290.56
  5. Step 5: Solve for x
    x = 134,496,452,290.56/463,458.80
  6. Step 6: Final answer
    x = 290,201.53

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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.