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Finding the Fourth Proportional to 663,116.14, 993,966 and 378,193.27

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Solution

The fourth proportional to 663,116.14, 993,966 and 378,193.27 is: 566,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,116.14 : 993,966 = 378,193.27 : x
  2. Step 2: Convert to fraction form
    663,116.14/993,966 = 378,193.27/x
  3. Step 3: Cross multiply
    663,116.14x = 993,966 × 378,193.27
  4. Step 4: Simplify right side
    663,116.14x = 375,911,251,808.82
  5. Step 5: Solve for x
    x = 375,911,251,808.82/663,116.14
  6. Step 6: Final answer
    x = 566,885.99

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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.