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Finding the Fourth Proportional to 298,108.90, 411,254.56 and 177,181.46

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Solution

The fourth proportional to 298,108.90, 411,254.56 and 177,181.46 is: 244,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,108.90 : 411,254.56 = 177,181.46 : x
  2. Step 2: Convert to fraction form
    298,108.90/411,254.56 = 177,181.46/x
  3. Step 3: Cross multiply
    298,108.90x = 411,254.56 × 177,181.46
  4. Step 4: Simplify right side
    298,108.90x = 72,866,683,372.46
  5. Step 5: Solve for x
    x = 72,866,683,372.46/298,108.90
  6. Step 6: Final answer
    x = 244,429.75

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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.