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Finding the Fourth Proportional to 416,499.26, 624,748.98 and 150,259.69

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Solution

The fourth proportional to 416,499.26, 624,748.98 and 150,259.69 is: 225,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,499.26 : 624,748.98 = 150,259.69 : x
  2. Step 2: Convert to fraction form
    416,499.26/624,748.98 = 150,259.69/x
  3. Step 3: Cross multiply
    416,499.26x = 624,748.98 × 150,259.69
  4. Step 4: Simplify right side
    416,499.26x = 93,874,588,062.62
  5. Step 5: Solve for x
    x = 93,874,588,062.62/416,499.26
  6. Step 6: Final answer
    x = 225,389.57

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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.