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Finding the Fourth Proportional to 294,855.72, 406,579.34 and 199,196.32

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Solution

The fourth proportional to 294,855.72, 406,579.34 and 199,196.32 is: 274,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,855.72 : 406,579.34 = 199,196.32 : x
  2. Step 2: Convert to fraction form
    294,855.72/406,579.34 = 199,196.32/x
  3. Step 3: Cross multiply
    294,855.72x = 406,579.34 × 199,196.32
  4. Step 4: Simplify right side
    294,855.72x = 80,989,108,316.03
  5. Step 5: Solve for x
    x = 80,989,108,316.03/294,855.72
  6. Step 6: Final answer
    x = 274,673.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.