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Finding the Fourth Proportional to 297,844, 411,024.72 and 163,708

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Solution

The fourth proportional to 297,844, 411,024.72 and 163,708 is: 225,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,844 : 411,024.72 = 163,708 : x
  2. Step 2: Convert to fraction form
    297,844/411,024.72 = 163,708/x
  3. Step 3: Cross multiply
    297,844x = 411,024.72 × 163,708
  4. Step 4: Simplify right side
    297,844x = 67,288,034,861.76
  5. Step 5: Solve for x
    x = 67,288,034,861.76/297,844
  6. Step 6: Final answer
    x = 225,917.04

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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.