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Finding the Fourth Proportional to 299,872.32, 413,818.92 and 163,904.64

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Solution

The fourth proportional to 299,872.32, 413,818.92 and 163,904.64 is: 226,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,872.32 : 413,818.92 = 163,904.64 : x
  2. Step 2: Convert to fraction form
    299,872.32/413,818.92 = 163,904.64/x
  3. Step 3: Cross multiply
    299,872.32x = 413,818.92 × 163,904.64
  4. Step 4: Simplify right side
    299,872.32x = 67,826,841,107.79
  5. Step 5: Solve for x
    x = 67,826,841,107.79/299,872.32
  6. Step 6: Final answer
    x = 226,185.74

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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.