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Finding the Fourth Proportional to 299,319.41, 413,062.02 and 163,356.23

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Solution

The fourth proportional to 299,319.41, 413,062.02 and 163,356.23 is: 225,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,319.41 : 413,062.02 = 163,356.23 : x
  2. Step 2: Convert to fraction form
    299,319.41/413,062.02 = 163,356.23/x
  3. Step 3: Cross multiply
    299,319.41x = 413,062.02 × 163,356.23
  4. Step 4: Simplify right side
    299,319.41x = 67,476,252,278.07
  5. Step 5: Solve for x
    x = 67,476,252,278.07/299,319.41
  6. Step 6: Final answer
    x = 225,432.27

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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.