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Finding the Fourth Proportional to 416,552.84, 624,699.97 and 150,278.66

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Solution

The fourth proportional to 416,552.84, 624,699.97 and 150,278.66 is: 225,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,552.84 : 624,699.97 = 150,278.66 : x
  2. Step 2: Convert to fraction form
    416,552.84/624,699.97 = 150,278.66/x
  3. Step 3: Cross multiply
    416,552.84x = 624,699.97 × 150,278.66
  4. Step 4: Simplify right side
    416,552.84x = 93,879,074,393.64
  5. Step 5: Solve for x
    x = 93,879,074,393.64/416,552.84
  6. Step 6: Final answer
    x = 225,371.35

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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.