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Finding the Fourth Proportional to 277,838.40, 383,416.92 and 150,513.96

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Solution

The fourth proportional to 277,838.40, 383,416.92 and 150,513.96 is: 207,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,838.40 : 383,416.92 = 150,513.96 : x
  2. Step 2: Convert to fraction form
    277,838.40/383,416.92 = 150,513.96/x
  3. Step 3: Cross multiply
    277,838.40x = 383,416.92 × 150,513.96
  4. Step 4: Simplify right side
    277,838.40x = 57,709,598,960.20
  5. Step 5: Solve for x
    x = 57,709,598,960.20/277,838.40
  6. Step 6: Final answer
    x = 207,709.23

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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.