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Finding the Fourth Proportional to 298,285.57, 411,634.14 and 164,149.57

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Solution

The fourth proportional to 298,285.57, 411,634.14 and 164,149.57 is: 226,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.57 : 411,634.14 = 164,149.57 : x
  2. Step 2: Convert to fraction form
    298,285.57/411,634.14 = 164,149.57/x
  3. Step 3: Cross multiply
    298,285.57x = 411,634.14 × 164,149.57
  4. Step 4: Simplify right side
    298,285.57x = 67,569,567,078.32
  5. Step 5: Solve for x
    x = 67,569,567,078.32/298,285.57
  6. Step 6: Final answer
    x = 226,526.44

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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.