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Finding the Fourth Proportional to 416,219.34, 623,954.34 and 149,792.52

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Solution

The fourth proportional to 416,219.34, 623,954.34 and 149,792.52 is: 224,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,219.34 : 623,954.34 = 149,792.52 : x
  2. Step 2: Convert to fraction form
    416,219.34/623,954.34 = 149,792.52/x
  3. Step 3: Cross multiply
    416,219.34x = 623,954.34 × 149,792.52
  4. Step 4: Simplify right side
    416,219.34x = 93,463,692,953.54
  5. Step 5: Solve for x
    x = 93,463,692,953.54/416,219.34
  6. Step 6: Final answer
    x = 224,553.94

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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.