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Finding the Fourth Proportional to 416,431.80, 624,647.70 and 150,233.40

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Solution

The fourth proportional to 416,431.80, 624,647.70 and 150,233.40 is: 225,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,431.80 : 624,647.70 = 150,233.40 : x
  2. Step 2: Convert to fraction form
    416,431.80/624,647.70 = 150,233.40/x
  3. Step 3: Cross multiply
    416,431.80x = 624,647.70 × 150,233.40
  4. Step 4: Simplify right side
    416,431.80x = 93,842,947,773.18
  5. Step 5: Solve for x
    x = 93,842,947,773.18/416,431.80
  6. Step 6: Final answer
    x = 225,350.10

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1.5x scale

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.