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Finding the Fourth Proportional to 294,817.90, 406,863.10 and 165,796.96

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Solution

The fourth proportional to 294,817.90, 406,863.10 and 165,796.96 is: 228,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,817.90 : 406,863.10 = 165,796.96 : x
  2. Step 2: Convert to fraction form
    294,817.90/406,863.10 = 165,796.96/x
  3. Step 3: Cross multiply
    294,817.90x = 406,863.10 × 165,796.96
  4. Step 4: Simplify right side
    294,817.90x = 67,456,665,116.18
  5. Step 5: Solve for x
    x = 67,456,665,116.18/294,817.90
  6. Step 6: Final answer
    x = 228,807.90

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1.5x scale

Why These Related Problems?

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