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Finding the Fourth Proportional to 299,378.63, 413,146.37 and 163,416.49

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Solution

The fourth proportional to 299,378.63, 413,146.37 and 163,416.49 is: 225,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,378.63 : 413,146.37 = 163,416.49 : x
  2. Step 2: Convert to fraction form
    299,378.63/413,146.37 = 163,416.49/x
  3. Step 3: Cross multiply
    299,378.63x = 413,146.37 × 163,416.49
  4. Step 4: Simplify right side
    299,378.63x = 67,514,929,641.64
  5. Step 5: Solve for x
    x = 67,514,929,641.64/299,378.63
  6. Step 6: Final answer
    x = 225,516.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.