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Finding the Fourth Proportional to 777,796.29, 1,165,893.14 and 297,893.16

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Solution

The fourth proportional to 777,796.29, 1,165,893.14 and 297,893.16 is: 446,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,796.29 : 1,165,893.14 = 297,893.16 : x
  2. Step 2: Convert to fraction form
    777,796.29/1,165,893.14 = 297,893.16/x
  3. Step 3: Cross multiply
    777,796.29x = 1,165,893.14 × 297,893.16
  4. Step 4: Simplify right side
    777,796.29x = 347,311,592,441.66
  5. Step 5: Solve for x
    x = 347,311,592,441.66/777,796.29
  6. Step 6: Final answer
    x = 446,532.85

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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.