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Finding the Fourth Proportional to 297,781.92, 410,964.24 and 163,673.76

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Solution

The fourth proportional to 297,781.92, 410,964.24 and 163,673.76 is: 225,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,781.92 : 410,964.24 = 163,673.76 : x
  2. Step 2: Convert to fraction form
    297,781.92/410,964.24 = 163,673.76/x
  3. Step 3: Cross multiply
    297,781.92x = 410,964.24 × 163,673.76
  4. Step 4: Simplify right side
    297,781.92x = 67,264,062,386.34
  5. Step 5: Solve for x
    x = 67,264,062,386.34/297,781.92
  6. Step 6: Final answer
    x = 225,883.63

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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.