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Finding the Fourth Proportional to 331,314.40, 496,971.60 and 229,837.60

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Solution

The fourth proportional to 331,314.40, 496,971.60 and 229,837.60 is: 344,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314.40 : 496,971.60 = 229,837.60 : x
  2. Step 2: Convert to fraction form
    331,314.40/496,971.60 = 229,837.60/x
  3. Step 3: Cross multiply
    331,314.40x = 496,971.60 × 229,837.60
  4. Step 4: Simplify right side
    331,314.40x = 114,222,759,812.16
  5. Step 5: Solve for x
    x = 114,222,759,812.16/331,314.40
  6. Step 6: Final answer
    x = 344,756.40

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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.