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Finding the Fourth Proportional to 416,636.52, 624,955.62 and 150,584.92

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Solution

The fourth proportional to 416,636.52, 624,955.62 and 150,584.92 is: 225,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,636.52 : 624,955.62 = 150,584.92 : x
  2. Step 2: Convert to fraction form
    416,636.52/624,955.62 = 150,584.92/x
  3. Step 3: Cross multiply
    416,636.52x = 624,955.62 × 150,584.92
  4. Step 4: Simplify right side
    416,636.52x = 94,108,892,041.25
  5. Step 5: Solve for x
    x = 94,108,892,041.25/416,636.52
  6. Step 6: Final answer
    x = 225,877.68

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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.