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Finding the Fourth Proportional to 297,689, 410,836.74 and 163,578.92

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Solution

The fourth proportional to 297,689, 410,836.74 and 163,578.92 is: 225,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,689 : 410,836.74 = 163,578.92 : x
  2. Step 2: Convert to fraction form
    297,689/410,836.74 = 163,578.92/x
  3. Step 3: Cross multiply
    297,689x = 410,836.74 × 163,578.92
  4. Step 4: Simplify right side
    297,689x = 67,204,230,225.52
  5. Step 5: Solve for x
    x = 67,204,230,225.52/297,689
  6. Step 6: Final answer
    x = 225,753.15

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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.