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Finding the Fourth Proportional to 416,575.92, 624,766.32 and 117,085.20

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Solution

The fourth proportional to 416,575.92, 624,766.32 and 117,085.20 is: 175,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,575.92 : 624,766.32 = 117,085.20 : x
  2. Step 2: Convert to fraction form
    416,575.92/624,766.32 = 117,085.20/x
  3. Step 3: Cross multiply
    416,575.92x = 624,766.32 × 117,085.20
  4. Step 4: Simplify right side
    416,575.92x = 73,150,889,530.46
  5. Step 5: Solve for x
    x = 73,150,889,530.46/416,575.92
  6. Step 6: Final answer
    x = 175,600.38

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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.