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Finding the Fourth Proportional to 297,773.92, 410,953.20 and 163,665.76

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Solution

The fourth proportional to 297,773.92, 410,953.20 and 163,665.76 is: 225,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,773.92 : 410,953.20 = 163,665.76 : x
  2. Step 2: Convert to fraction form
    297,773.92/410,953.20 = 163,665.76/x
  3. Step 3: Cross multiply
    297,773.92x = 410,953.20 × 163,665.76
  4. Step 4: Simplify right side
    297,773.92x = 67,258,967,802.43
  5. Step 5: Solve for x
    x = 67,258,967,802.43/297,773.92
  6. Step 6: Final answer
    x = 225,872.59

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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.