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Finding the Fourth Proportional to 299,498.03, 413,304.10 and 163,531.55

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Solution

The fourth proportional to 299,498.03, 413,304.10 and 163,531.55 is: 225,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,498.03 : 413,304.10 = 163,531.55 : x
  2. Step 2: Convert to fraction form
    299,498.03/413,304.10 = 163,531.55/x
  3. Step 3: Cross multiply
    299,498.03x = 413,304.10 × 163,531.55
  4. Step 4: Simplify right side
    299,498.03x = 67,588,260,094.36
  5. Step 5: Solve for x
    x = 67,588,260,094.36/299,498.03
  6. Step 6: Final answer
    x = 225,671.80

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1.5x scale

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.