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Finding the Fourth Proportional to 299,003.64, 412,619.76 and 163,038.66

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Solution

The fourth proportional to 299,003.64, 412,619.76 and 163,038.66 is: 224,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,003.64 : 412,619.76 = 163,038.66 : x
  2. Step 2: Convert to fraction form
    299,003.64/412,619.76 = 163,038.66/x
  3. Step 3: Cross multiply
    299,003.64x = 412,619.76 × 163,038.66
  4. Step 4: Simplify right side
    299,003.64x = 67,272,972,759.92
  5. Step 5: Solve for x
    x = 67,272,972,759.92/299,003.64
  6. Step 6: Final answer
    x = 224,990.48

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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.