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Finding the Fourth Proportional to 348,165, 480,487.14 and 197,310.60

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Solution

The fourth proportional to 348,165, 480,487.14 and 197,310.60 is: 272,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,165 : 480,487.14 = 197,310.60 : x
  2. Step 2: Convert to fraction form
    348,165/480,487.14 = 197,310.60/x
  3. Step 3: Cross multiply
    348,165x = 480,487.14 × 197,310.60
  4. Step 4: Simplify right side
    348,165x = 94,805,205,885.68
  5. Step 5: Solve for x
    x = 94,805,205,885.68/348,165
  6. Step 6: Final answer
    x = 272,299.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.