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Finding the Fourth Proportional to 416,370.90, 624,173.64 and 150,066.24

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Solution

The fourth proportional to 416,370.90, 624,173.64 and 150,066.24 is: 224,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,370.90 : 624,173.64 = 150,066.24 : x
  2. Step 2: Convert to fraction form
    416,370.90/624,173.64 = 150,066.24/x
  3. Step 3: Cross multiply
    416,370.90x = 624,173.64 × 150,066.24
  4. Step 4: Simplify right side
    416,370.90x = 93,667,391,261.91
  5. Step 5: Solve for x
    x = 93,667,391,261.91/416,370.90
  6. Step 6: Final answer
    x = 224,961.43

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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.