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Finding the Fourth Proportional to 299,287.30, 413,025.24 and 163,330.02

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Solution

The fourth proportional to 299,287.30, 413,025.24 and 163,330.02 is: 225,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,287.30 : 413,025.24 = 163,330.02 : x
  2. Step 2: Convert to fraction form
    299,287.30/413,025.24 = 163,330.02/x
  3. Step 3: Cross multiply
    299,287.30x = 413,025.24 × 163,330.02
  4. Step 4: Simplify right side
    299,287.30x = 67,459,420,709.70
  5. Step 5: Solve for x
    x = 67,459,420,709.70/299,287.30
  6. Step 6: Final answer
    x = 225,400.21

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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.