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Finding the Fourth Proportional to 587,644.44, 811,133.91 and 333,165.12

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Solution

The fourth proportional to 587,644.44, 811,133.91 and 333,165.12 is: 459,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,644.44 : 811,133.91 = 333,165.12 : x
  2. Step 2: Convert to fraction form
    587,644.44/811,133.91 = 333,165.12/x
  3. Step 3: Cross multiply
    587,644.44x = 811,133.91 × 333,165.12
  4. Step 4: Simplify right side
    587,644.44x = 270,241,526,461.22
  5. Step 5: Solve for x
    x = 270,241,526,461.22/587,644.44
  6. Step 6: Final answer
    x = 459,872.51

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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.