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Finding the Fourth Proportional to 284,472.72, 392,584.28 and 163,614.04

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Solution

The fourth proportional to 284,472.72, 392,584.28 and 163,614.04 is: 225,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,472.72 : 392,584.28 = 163,614.04 : x
  2. Step 2: Convert to fraction form
    284,472.72/392,584.28 = 163,614.04/x
  3. Step 3: Cross multiply
    284,472.72x = 392,584.28 × 163,614.04
  4. Step 4: Simplify right side
    284,472.72x = 64,232,300,091.29
  5. Step 5: Solve for x
    x = 64,232,300,091.29/284,472.72
  6. Step 6: Final answer
    x = 225,794.23

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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.