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Finding the Fourth Proportional to 277,884.54, 383,339.79 and 175,737.87

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Solution

The fourth proportional to 277,884.54, 383,339.79 and 175,737.87 is: 242,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,884.54 : 383,339.79 = 175,737.87 : x
  2. Step 2: Convert to fraction form
    277,884.54/383,339.79 = 175,737.87/x
  3. Step 3: Cross multiply
    277,884.54x = 383,339.79 × 175,737.87
  4. Step 4: Simplify right side
    277,884.54x = 67,367,318,180.85
  5. Step 5: Solve for x
    x = 67,367,318,180.85/277,884.54
  6. Step 6: Final answer
    x = 242,429.17

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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.