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Finding the Fourth Proportional to 416,381.90, 624,190.14 and 150,077.24

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Solution

The fourth proportional to 416,381.90, 624,190.14 and 150,077.24 is: 224,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,381.90 : 624,190.14 = 150,077.24 : x
  2. Step 2: Convert to fraction form
    416,381.90/624,190.14 = 150,077.24/x
  3. Step 3: Cross multiply
    416,381.90x = 624,190.14 × 150,077.24
  4. Step 4: Simplify right side
    416,381.90x = 93,676,733,446.41
  5. Step 5: Solve for x
    x = 93,676,733,446.41/416,381.90
  6. Step 6: Final answer
    x = 224,977.92

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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.