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Finding the Fourth Proportional to 430,857.20, 646,285.80 and 244,233.20

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Solution

The fourth proportional to 430,857.20, 646,285.80 and 244,233.20 is: 366,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,857.20 : 646,285.80 = 244,233.20 : x
  2. Step 2: Convert to fraction form
    430,857.20/646,285.80 = 244,233.20/x
  3. Step 3: Cross multiply
    430,857.20x = 646,285.80 × 244,233.20
  4. Step 4: Simplify right side
    430,857.20x = 157,844,449,048.56
  5. Step 5: Solve for x
    x = 157,844,449,048.56/430,857.20
  6. Step 6: Final answer
    x = 366,349.80

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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.