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Finding the Fourth Proportional to 463,834.40, 695,233.20 and 197,549.60

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Solution

The fourth proportional to 463,834.40, 695,233.20 and 197,549.60 is: 296,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,834.40 : 695,233.20 = 197,549.60 : x
  2. Step 2: Convert to fraction form
    463,834.40/695,233.20 = 197,549.60/x
  3. Step 3: Cross multiply
    463,834.40x = 695,233.20 × 197,549.60
  4. Step 4: Simplify right side
    463,834.40x = 137,343,040,566.72
  5. Step 5: Solve for x
    x = 137,343,040,566.72/463,834.40
  6. Step 6: Final answer
    x = 296,103.61

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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.