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Finding the Fourth Proportional to 328,896, 493,422 and 107,280

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Solution

The fourth proportional to 328,896, 493,422 and 107,280 is: 160,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,896 : 493,422 = 107,280 : x
  2. Step 2: Convert to fraction form
    328,896/493,422 = 107,280/x
  3. Step 3: Cross multiply
    328,896x = 493,422 × 107,280
  4. Step 4: Simplify right side
    328,896x = 52,934,312,160
  5. Step 5: Solve for x
    x = 52,934,312,160/328,896
  6. Step 6: Final answer
    x = 160,945.44

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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.