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Finding the Fourth Proportional to 294,678.36, 406,656.18 and 160,542.36

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Solution

The fourth proportional to 294,678.36, 406,656.18 and 160,542.36 is: 221,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,678.36 : 406,656.18 = 160,542.36 : x
  2. Step 2: Convert to fraction form
    294,678.36/406,656.18 = 160,542.36/x
  3. Step 3: Cross multiply
    294,678.36x = 406,656.18 × 160,542.36
  4. Step 4: Simplify right side
    294,678.36x = 65,285,542,845.78
  5. Step 5: Solve for x
    x = 65,285,542,845.78/294,678.36
  6. Step 6: Final answer
    x = 221,548.48

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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.