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Finding the Fourth Proportional to 298,269.52, 411,599.82 and 170,856.52

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Solution

The fourth proportional to 298,269.52, 411,599.82 and 170,856.52 is: 235,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,269.52 : 411,599.82 = 170,856.52 : x
  2. Step 2: Convert to fraction form
    298,269.52/411,599.82 = 170,856.52/x
  3. Step 3: Cross multiply
    298,269.52x = 411,599.82 × 170,856.52
  4. Step 4: Simplify right side
    298,269.52x = 70,324,512,877.83
  5. Step 5: Solve for x
    x = 70,324,512,877.83/298,269.52
  6. Step 6: Final answer
    x = 235,775.06

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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.