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Finding the Fourth Proportional to 463,958.40, 696,002.40 and 197,716.80

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Solution

The fourth proportional to 463,958.40, 696,002.40 and 197,716.80 is: 296,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,958.40 : 696,002.40 = 197,716.80 : x
  2. Step 2: Convert to fraction form
    463,958.40/696,002.40 = 197,716.80/x
  3. Step 3: Cross multiply
    463,958.40x = 696,002.40 × 197,716.80
  4. Step 4: Simplify right side
    463,958.40x = 137,611,367,320.32
  5. Step 5: Solve for x
    x = 137,611,367,320.32/463,958.40
  6. Step 6: Final answer
    x = 296,602.81

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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.