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Finding the Fourth Proportional to 463,886.40, 695,311.20 and 197,601.60

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Solution

The fourth proportional to 463,886.40, 695,311.20 and 197,601.60 is: 296,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,886.40 : 695,311.20 = 197,601.60 : x
  2. Step 2: Convert to fraction form
    463,886.40/695,311.20 = 197,601.60/x
  3. Step 3: Cross multiply
    463,886.40x = 695,311.20 × 197,601.60
  4. Step 4: Simplify right side
    463,886.40x = 137,394,605,617.92
  5. Step 5: Solve for x
    x = 137,394,605,617.92/463,886.40
  6. Step 6: Final answer
    x = 296,181.58

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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.