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Finding the Fourth Proportional to 268,287.40, 402,431.10 and 197,428.60

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Solution

The fourth proportional to 268,287.40, 402,431.10 and 197,428.60 is: 296,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,287.40 : 402,431.10 = 197,428.60 : x
  2. Step 2: Convert to fraction form
    268,287.40/402,431.10 = 197,428.60/x
  3. Step 3: Cross multiply
    268,287.40x = 402,431.10 × 197,428.60
  4. Step 4: Simplify right side
    268,287.40x = 79,451,408,669.46
  5. Step 5: Solve for x
    x = 79,451,408,669.46/268,287.40
  6. Step 6: Final answer
    x = 296,142.90

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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.