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Finding the Fourth Proportional to 416,622.51, 624,934.62 and 150,570.90

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Solution

The fourth proportional to 416,622.51, 624,934.62 and 150,570.90 is: 225,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,622.51 : 624,934.62 = 150,570.90 : x
  2. Step 2: Convert to fraction form
    416,622.51/624,934.62 = 150,570.90/x
  3. Step 3: Cross multiply
    416,622.51x = 624,934.62 × 150,570.90
  4. Step 4: Simplify right side
    416,622.51x = 94,096,968,174.56
  5. Step 5: Solve for x
    x = 94,096,968,174.56/416,622.51
  6. Step 6: Final answer
    x = 225,856.66

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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.