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Finding the Fourth Proportional to 532,073.14, 734,200.78 and 305,791.54

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Solution

The fourth proportional to 532,073.14, 734,200.78 and 305,791.54 is: 421,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,073.14 : 734,200.78 = 305,791.54 : x
  2. Step 2: Convert to fraction form
    532,073.14/734,200.78 = 305,791.54/x
  3. Step 3: Cross multiply
    532,073.14x = 734,200.78 × 305,791.54
  4. Step 4: Simplify right side
    532,073.14x = 224,512,387,185.40
  5. Step 5: Solve for x
    x = 224,512,387,185.40/532,073.14
  6. Step 6: Final answer
    x = 421,957.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.