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Finding the Fourth Proportional to 588,065, 811,536.18 and 319,793

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Solution

The fourth proportional to 588,065, 811,536.18 and 319,793 is: 441,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,065 : 811,536.18 = 319,793 : x
  2. Step 2: Convert to fraction form
    588,065/811,536.18 = 319,793/x
  3. Step 3: Cross multiply
    588,065x = 811,536.18 × 319,793
  4. Step 4: Simplify right side
    588,065x = 259,523,589,610.74
  5. Step 5: Solve for x
    x = 259,523,589,610.74/588,065
  6. Step 6: Final answer
    x = 441,317.86

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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.