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Finding the Fourth Proportional to 588,099, 811,576.62 and 319,827

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Solution

The fourth proportional to 588,099, 811,576.62 and 319,827 is: 441,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,099 : 811,576.62 = 319,827 : x
  2. Step 2: Convert to fraction form
    588,099/811,576.62 = 319,827/x
  3. Step 3: Cross multiply
    588,099x = 811,576.62 × 319,827
  4. Step 4: Simplify right side
    588,099x = 259,564,115,644.74
  5. Step 5: Solve for x
    x = 259,564,115,644.74/588,099
  6. Step 6: Final answer
    x = 441,361.26

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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.