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Finding the Fourth Proportional to 294,796.90, 406,817.25 and 165,735.94

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Solution

The fourth proportional to 294,796.90, 406,817.25 and 165,735.94 is: 228,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,796.90 : 406,817.25 = 165,735.94 : x
  2. Step 2: Convert to fraction form
    294,796.90/406,817.25 = 165,735.94/x
  3. Step 3: Cross multiply
    294,796.90x = 406,817.25 × 165,735.94
  4. Step 4: Simplify right side
    294,796.90x = 67,424,239,393.46
  5. Step 5: Solve for x
    x = 67,424,239,393.46/294,796.90
  6. Step 6: Final answer
    x = 228,714.21

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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.