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Finding the Fourth Proportional to 277,818.96, 383,391.99 and 150,494.58

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Solution

The fourth proportional to 277,818.96, 383,391.99 and 150,494.58 is: 207,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,818.96 : 383,391.99 = 150,494.58 : x
  2. Step 2: Convert to fraction form
    277,818.96/383,391.99 = 150,494.58/x
  3. Step 3: Cross multiply
    277,818.96x = 383,391.99 × 150,494.58
  4. Step 4: Simplify right side
    277,818.96x = 57,698,416,510.41
  5. Step 5: Solve for x
    x = 57,698,416,510.41/277,818.96
  6. Step 6: Final answer
    x = 207,683.51

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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.