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Finding the Fourth Proportional to 241,943.20, 362,223.60 and 214,295.20

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Solution

The fourth proportional to 241,943.20, 362,223.60 and 214,295.20 is: 320,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,943.20 : 362,223.60 = 214,295.20 : x
  2. Step 2: Convert to fraction form
    241,943.20/362,223.60 = 214,295.20/x
  3. Step 3: Cross multiply
    241,943.20x = 362,223.60 × 214,295.20
  4. Step 4: Simplify right side
    241,943.20x = 77,622,778,806.72
  5. Step 5: Solve for x
    x = 77,622,778,806.72/241,943.20
  6. Step 6: Final answer
    x = 320,830.59

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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.