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Finding the Fourth Proportional to 299,746.50, 413,637.84 and 163,785.12

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Solution

The fourth proportional to 299,746.50, 413,637.84 and 163,785.12 is: 226,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,746.50 : 413,637.84 = 163,785.12 : x
  2. Step 2: Convert to fraction form
    299,746.50/413,637.84 = 163,785.12/x
  3. Step 3: Cross multiply
    299,746.50x = 413,637.84 × 163,785.12
  4. Step 4: Simplify right side
    299,746.50x = 67,747,723,260.94
  5. Step 5: Solve for x
    x = 67,747,723,260.94/299,746.50
  6. Step 6: Final answer
    x = 226,016.73

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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.