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Finding the Fourth Proportional to 277,866.27, 383,314.37 and 175,719.70

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Solution

The fourth proportional to 277,866.27, 383,314.37 and 175,719.70 is: 242,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,866.27 : 383,314.37 = 175,719.70 : x
  2. Step 2: Convert to fraction form
    277,866.27/383,314.37 = 175,719.70/x
  3. Step 3: Cross multiply
    277,866.27x = 383,314.37 × 175,719.70
  4. Step 4: Simplify right side
    277,866.27x = 67,355,886,541.39
  5. Step 5: Solve for x
    x = 67,355,886,541.39/277,866.27
  6. Step 6: Final answer
    x = 242,403.97

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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.