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Finding the Fourth Proportional to 631,611.20, 947,954.40 and 257,902.40

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Solution

The fourth proportional to 631,611.20, 947,954.40 and 257,902.40 is: 387,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,611.20 : 947,954.40 = 257,902.40 : x
  2. Step 2: Convert to fraction form
    631,611.20/947,954.40 = 257,902.40/x
  3. Step 3: Cross multiply
    631,611.20x = 947,954.40 × 257,902.40
  4. Step 4: Simplify right side
    631,611.20x = 244,479,714,850.56
  5. Step 5: Solve for x
    x = 244,479,714,850.56/631,611.20
  6. Step 6: Final answer
    x = 387,073.12

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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.