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Finding the Fourth Proportional to 299,370.56, 413,128.14 and 163,403.44

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Solution

The fourth proportional to 299,370.56, 413,128.14 and 163,403.44 is: 225,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,370.56 : 413,128.14 = 163,403.44 : x
  2. Step 2: Convert to fraction form
    299,370.56/413,128.14 = 163,403.44/x
  3. Step 3: Cross multiply
    299,370.56x = 413,128.14 × 163,403.44
  4. Step 4: Simplify right side
    299,370.56x = 67,506,559,236.80
  5. Step 5: Solve for x
    x = 67,506,559,236.80/299,370.56
  6. Step 6: Final answer
    x = 225,494.98

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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.