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Finding the Fourth Proportional to 416,386, 624,596.28 and 120,898

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Solution

The fourth proportional to 416,386, 624,596.28 and 120,898 is: 181,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,386 : 624,596.28 = 120,898 : x
  2. Step 2: Convert to fraction form
    416,386/624,596.28 = 120,898/x
  3. Step 3: Cross multiply
    416,386x = 624,596.28 × 120,898
  4. Step 4: Simplify right side
    416,386x = 75,512,441,059.44
  5. Step 5: Solve for x
    x = 75,512,441,059.44/416,386
  6. Step 6: Final answer
    x = 181,352.02

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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.