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Finding the Fourth Proportional to 298,107.90, 411,253.18 and 177,180.46

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Solution

The fourth proportional to 298,107.90, 411,253.18 and 177,180.46 is: 244,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,107.90 : 411,253.18 = 177,180.46 : x
  2. Step 2: Convert to fraction form
    298,107.90/411,253.18 = 177,180.46/x
  3. Step 3: Cross multiply
    298,107.90x = 411,253.18 × 177,180.46
  4. Step 4: Simplify right side
    298,107.90x = 72,866,027,608.86
  5. Step 5: Solve for x
    x = 72,866,027,608.86/298,107.90
  6. Step 6: Final answer
    x = 244,428.37

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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.