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Finding the Fourth Proportional to 416,261.87, 624,010.07 and 149,957.26

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Solution

The fourth proportional to 416,261.87, 624,010.07 and 149,957.26 is: 224,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,261.87 : 624,010.07 = 149,957.26 : x
  2. Step 2: Convert to fraction form
    416,261.87/624,010.07 = 149,957.26/x
  3. Step 3: Cross multiply
    416,261.87x = 624,010.07 × 149,957.26
  4. Step 4: Simplify right side
    416,261.87x = 93,574,839,124.48
  5. Step 5: Solve for x
    x = 93,574,839,124.48/416,261.87
  6. Step 6: Final answer
    x = 224,798.01

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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.