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Finding the Fourth Proportional to 463,568.60, 695,429.70 and 197,456.60

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Solution

The fourth proportional to 463,568.60, 695,429.70 and 197,456.60 is: 296,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,568.60 : 695,429.70 = 197,456.60 : x
  2. Step 2: Convert to fraction form
    463,568.60/695,429.70 = 197,456.60/x
  3. Step 3: Cross multiply
    463,568.60x = 695,429.70 × 197,456.60
  4. Step 4: Simplify right side
    463,568.60x = 137,317,184,101.02
  5. Step 5: Solve for x
    x = 137,317,184,101.02/463,568.60
  6. Step 6: Final answer
    x = 296,217.61

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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.