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Finding the Fourth Proportional to 277,804.88, 383,399.12 and 200,344.52

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Solution

The fourth proportional to 277,804.88, 383,399.12 and 200,344.52 is: 276,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,804.88 : 383,399.12 = 200,344.52 : x
  2. Step 2: Convert to fraction form
    277,804.88/383,399.12 = 200,344.52/x
  3. Step 3: Cross multiply
    277,804.88x = 383,399.12 × 200,344.52
  4. Step 4: Simplify right side
    277,804.88x = 76,811,909,746.10
  5. Step 5: Solve for x
    x = 76,811,909,746.10/277,804.88
  6. Step 6: Final answer
    x = 276,495.90

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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.