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Finding the Fourth Proportional to 303,608.60, 455,024.10 and 233,138.60

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Solution

The fourth proportional to 303,608.60, 455,024.10 and 233,138.60 is: 349,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,608.60 : 455,024.10 = 233,138.60 : x
  2. Step 2: Convert to fraction form
    303,608.60/455,024.10 = 233,138.60/x
  3. Step 3: Cross multiply
    303,608.60x = 455,024.10 × 233,138.60
  4. Step 4: Simplify right side
    303,608.60x = 106,083,681,640.26
  5. Step 5: Solve for x
    x = 106,083,681,640.26/303,608.60
  6. Step 6: Final answer
    x = 349,409.34

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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.