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Finding the Fourth Proportional to 277,835.47, 383,412.39 and 150,511.37

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Solution

The fourth proportional to 277,835.47, 383,412.39 and 150,511.37 is: 207,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,835.47 : 383,412.39 = 150,511.37 : x
  2. Step 2: Convert to fraction form
    277,835.47/383,412.39 = 150,511.37/x
  3. Step 3: Cross multiply
    277,835.47x = 383,412.39 × 150,511.37
  4. Step 4: Simplify right side
    277,835.47x = 57,707,921,612.39
  5. Step 5: Solve for x
    x = 57,707,921,612.39/277,835.47
  6. Step 6: Final answer
    x = 207,705.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.