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Finding the Fourth Proportional to 465,685.22, 698,508.36 and 133,261.22

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Solution

The fourth proportional to 465,685.22, 698,508.36 and 133,261.22 is: 199,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,685.22 : 698,508.36 = 133,261.22 : x
  2. Step 2: Convert to fraction form
    465,685.22/698,508.36 = 133,261.22/x
  3. Step 3: Cross multiply
    465,685.22x = 698,508.36 × 133,261.22
  4. Step 4: Simplify right side
    465,685.22x = 93,084,076,233.80
  5. Step 5: Solve for x
    x = 93,084,076,233.80/465,685.22
  6. Step 6: Final answer
    x = 199,886.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.