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Finding the Fourth Proportional to 396,775.20, 595,167.64 and 116,298.12

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Solution

The fourth proportional to 396,775.20, 595,167.64 and 116,298.12 is: 174,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,775.20 : 595,167.64 = 116,298.12 : x
  2. Step 2: Convert to fraction form
    396,775.20/595,167.64 = 116,298.12/x
  3. Step 3: Cross multiply
    396,775.20x = 595,167.64 × 116,298.12
  4. Step 4: Simplify right side
    396,775.20x = 69,216,877,616.84
  5. Step 5: Solve for x
    x = 69,216,877,616.84/396,775.20
  6. Step 6: Final answer
    x = 174,448.60

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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.