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Finding the Fourth Proportional to 299,923.41, 413,895.14 and 163,959

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Solution

The fourth proportional to 299,923.41, 413,895.14 and 163,959 is: 226,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,923.41 : 413,895.14 = 163,959 : x
  2. Step 2: Convert to fraction form
    299,923.41/413,895.14 = 163,959/x
  3. Step 3: Cross multiply
    299,923.41x = 413,895.14 × 163,959
  4. Step 4: Simplify right side
    299,923.41x = 67,861,833,259.26
  5. Step 5: Solve for x
    x = 67,861,833,259.26/299,923.41
  6. Step 6: Final answer
    x = 226,263.88

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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.