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Finding the Fourth Proportional to 319,311, 478,966.50 and 129,874.44

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Solution

The fourth proportional to 319,311, 478,966.50 and 129,874.44 is: 194,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,311 : 478,966.50 = 129,874.44 : x
  2. Step 2: Convert to fraction form
    319,311/478,966.50 = 129,874.44/x
  3. Step 3: Cross multiply
    319,311x = 478,966.50 × 129,874.44
  4. Step 4: Simplify right side
    319,311x = 62,205,505,966.26
  5. Step 5: Solve for x
    x = 62,205,505,966.26/319,311
  6. Step 6: Final answer
    x = 194,811.66

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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.