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Finding the Fourth Proportional to 325,967.40, 489,096.90 and 157,422.60

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Solution

The fourth proportional to 325,967.40, 489,096.90 and 157,422.60 is: 236,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,967.40 : 489,096.90 = 157,422.60 : x
  2. Step 2: Convert to fraction form
    325,967.40/489,096.90 = 157,422.60/x
  3. Step 3: Cross multiply
    325,967.40x = 489,096.90 × 157,422.60
  4. Step 4: Simplify right side
    325,967.40x = 76,994,905,649.94
  5. Step 5: Solve for x
    x = 76,994,905,649.94/325,967.40
  6. Step 6: Final answer
    x = 236,204.31

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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.