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Finding the Fourth Proportional to 298,024.90, 411,261.84 and 168,972.05

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Solution

The fourth proportional to 298,024.90, 411,261.84 and 168,972.05 is: 233,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,024.90 : 411,261.84 = 168,972.05 : x
  2. Step 2: Convert to fraction form
    298,024.90/411,261.84 = 168,972.05/x
  3. Step 3: Cross multiply
    298,024.90x = 411,261.84 × 168,972.05
  4. Step 4: Simplify right side
    298,024.90x = 69,491,757,219.73
  5. Step 5: Solve for x
    x = 69,491,757,219.73/298,024.90
  6. Step 6: Final answer
    x = 233,174.33

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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.