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Finding the Fourth Proportional to 317,053.32, 437,580.32 and 200,777.39

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Solution

The fourth proportional to 317,053.32, 437,580.32 and 200,777.39 is: 277,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,053.32 : 437,580.32 = 200,777.39 : x
  2. Step 2: Convert to fraction form
    317,053.32/437,580.32 = 200,777.39/x
  3. Step 3: Cross multiply
    317,053.32x = 437,580.32 × 200,777.39
  4. Step 4: Simplify right side
    317,053.32x = 87,856,231,373.18
  5. Step 5: Solve for x
    x = 87,856,231,373.18/317,053.32
  6. Step 6: Final answer
    x = 277,102.39

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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.