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Finding the Fourth Proportional to 416,156.10, 624,239.44 and 146,273.34

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Solution

The fourth proportional to 416,156.10, 624,239.44 and 146,273.34 is: 219,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,156.10 : 624,239.44 = 146,273.34 : x
  2. Step 2: Convert to fraction form
    416,156.10/624,239.44 = 146,273.34/x
  3. Step 3: Cross multiply
    416,156.10x = 624,239.44 × 146,273.34
  4. Step 4: Simplify right side
    416,156.10x = 91,309,587,848.53
  5. Step 5: Solve for x
    x = 91,309,587,848.53/416,156.10
  6. Step 6: Final answer
    x = 219,411.87

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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.