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Finding the Fourth Proportional to 413,774.36, 619,800.40 and 263,269.11

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Solution

The fourth proportional to 413,774.36, 619,800.40 and 263,269.11 is: 394,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,774.36 : 619,800.40 = 263,269.11 : x
  2. Step 2: Convert to fraction form
    413,774.36/619,800.40 = 263,269.11/x
  3. Step 3: Cross multiply
    413,774.36x = 619,800.40 × 263,269.11
  4. Step 4: Simplify right side
    413,774.36x = 163,174,299,685.64
  5. Step 5: Solve for x
    x = 163,174,299,685.64/413,774.36
  6. Step 6: Final answer
    x = 394,355.75

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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.