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Finding the Fourth Proportional to 298,469.76, 411,887.52 and 164,333.76

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Solution

The fourth proportional to 298,469.76, 411,887.52 and 164,333.76 is: 226,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,469.76 : 411,887.52 = 164,333.76 : x
  2. Step 2: Convert to fraction form
    298,469.76/411,887.52 = 164,333.76/x
  3. Step 3: Cross multiply
    298,469.76x = 411,887.52 × 164,333.76
  4. Step 4: Simplify right side
    298,469.76x = 67,687,024,858.68
  5. Step 5: Solve for x
    x = 67,687,024,858.68/298,469.76
  6. Step 6: Final answer
    x = 226,780.18

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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.