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Finding the Fourth Proportional to 463,396.60, 695,354.10 and 197,111.80

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Solution

The fourth proportional to 463,396.60, 695,354.10 and 197,111.80 is: 295,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,396.60 : 695,354.10 = 197,111.80 : x
  2. Step 2: Convert to fraction form
    463,396.60/695,354.10 = 197,111.80/x
  3. Step 3: Cross multiply
    463,396.60x = 695,354.10 × 197,111.80
  4. Step 4: Simplify right side
    463,396.60x = 137,062,498,288.38
  5. Step 5: Solve for x
    x = 137,062,498,288.38/463,396.60
  6. Step 6: Final answer
    x = 295,777.95

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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.