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Finding the Fourth Proportional to 463,642.40, 694,945.20 and 197,357.60

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Solution

The fourth proportional to 463,642.40, 694,945.20 and 197,357.60 is: 295,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,642.40 : 694,945.20 = 197,357.60 : x
  2. Step 2: Convert to fraction form
    463,642.40/694,945.20 = 197,357.60/x
  3. Step 3: Cross multiply
    463,642.40x = 694,945.20 × 197,357.60
  4. Step 4: Simplify right side
    463,642.40x = 137,152,716,803.52
  5. Step 5: Solve for x
    x = 137,152,716,803.52/463,642.40
  6. Step 6: Final answer
    x = 295,815.73

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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.