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Finding the Fourth Proportional to 405,092.16, 606,362.52 and 277,989.24

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Solution

The fourth proportional to 405,092.16, 606,362.52 and 277,989.24 is: 416,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,092.16 : 606,362.52 = 277,989.24 : x
  2. Step 2: Convert to fraction form
    405,092.16/606,362.52 = 277,989.24/x
  3. Step 3: Cross multiply
    405,092.16x = 606,362.52 × 277,989.24
  4. Step 4: Simplify right side
    405,092.16x = 168,562,256,099.29
  5. Step 5: Solve for x
    x = 168,562,256,099.29/405,092.16
  6. Step 6: Final answer
    x = 416,108.41

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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.