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Finding the Fourth Proportional to 319,309, 478,963.50 and 129,872.44

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Solution

The fourth proportional to 319,309, 478,963.50 and 129,872.44 is: 194,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,309 : 478,963.50 = 129,872.44 : x
  2. Step 2: Convert to fraction form
    319,309/478,963.50 = 129,872.44/x
  3. Step 3: Cross multiply
    319,309x = 478,963.50 × 129,872.44
  4. Step 4: Simplify right side
    319,309x = 62,204,158,415.94
  5. Step 5: Solve for x
    x = 62,204,158,415.94/319,309
  6. Step 6: Final answer
    x = 194,808.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.