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Finding the Fourth Proportional to 284,564.29, 392,772.51 and 163,717.96

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Solution

The fourth proportional to 284,564.29, 392,772.51 and 163,717.96 is: 225,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,564.29 : 392,772.51 = 163,717.96 : x
  2. Step 2: Convert to fraction form
    284,564.29/392,772.51 = 163,717.96/x
  3. Step 3: Cross multiply
    284,564.29x = 392,772.51 × 163,717.96
  4. Step 4: Simplify right side
    284,564.29x = 64,303,914,081.28
  5. Step 5: Solve for x
    x = 64,303,914,081.28/284,564.29
  6. Step 6: Final answer
    x = 225,973.24

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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.