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Finding the Fourth Proportional to 294,743.08, 406,745.38 and 160,607.08

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Solution

The fourth proportional to 294,743.08, 406,745.38 and 160,607.08 is: 221,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,743.08 : 406,745.38 = 160,607.08 : x
  2. Step 2: Convert to fraction form
    294,743.08/406,745.38 = 160,607.08/x
  3. Step 3: Cross multiply
    294,743.08x = 406,745.38 × 160,607.08
  4. Step 4: Simplify right side
    294,743.08x = 65,326,187,785.29
  5. Step 5: Solve for x
    x = 65,326,187,785.29/294,743.08
  6. Step 6: Final answer
    x = 221,637.73

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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.