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Finding the Fourth Proportional to 414,388.70, 621,521.52 and 114,838.04

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Solution

The fourth proportional to 414,388.70, 621,521.52 and 114,838.04 is: 172,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,388.70 : 621,521.52 = 114,838.04 : x
  2. Step 2: Convert to fraction form
    414,388.70/621,521.52 = 114,838.04/x
  3. Step 3: Cross multiply
    414,388.70x = 621,521.52 × 114,838.04
  4. Step 4: Simplify right side
    414,388.70x = 71,374,313,174.62
  5. Step 5: Solve for x
    x = 71,374,313,174.62/414,388.70
  6. Step 6: Final answer
    x = 172,240.01

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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.