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Finding the Fourth Proportional to 635,103, 952,654.50 and 191,871

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Solution

The fourth proportional to 635,103, 952,654.50 and 191,871 is: 287,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,103 : 952,654.50 = 191,871 : x
  2. Step 2: Convert to fraction form
    635,103/952,654.50 = 191,871/x
  3. Step 3: Cross multiply
    635,103x = 952,654.50 × 191,871
  4. Step 4: Simplify right side
    635,103x = 182,786,771,569.50
  5. Step 5: Solve for x
    x = 182,786,771,569.50/635,103
  6. Step 6: Final answer
    x = 287,806.50

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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.