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Finding the Fourth Proportional to 299,727.30, 413,618.84 and 163,758.32

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Solution

The fourth proportional to 299,727.30, 413,618.84 and 163,758.32 is: 225,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727.30 : 413,618.84 = 163,758.32 : x
  2. Step 2: Convert to fraction form
    299,727.30/413,618.84 = 163,758.32/x
  3. Step 3: Cross multiply
    299,727.30x = 413,618.84 × 163,758.32
  4. Step 4: Simplify right side
    299,727.30x = 67,733,527,802.19
  5. Step 5: Solve for x
    x = 67,733,527,802.19/299,727.30
  6. Step 6: Final answer
    x = 225,983.85

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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.