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Finding the Fourth Proportional to 317,303.24, 437,951.97 and 203,929.16

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Solution

The fourth proportional to 317,303.24, 437,951.97 and 203,929.16 is: 281,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,303.24 : 437,951.97 = 203,929.16 : x
  2. Step 2: Convert to fraction form
    317,303.24/437,951.97 = 203,929.16/x
  3. Step 3: Cross multiply
    317,303.24x = 437,951.97 × 203,929.16
  4. Step 4: Simplify right side
    317,303.24x = 89,311,175,172.69
  5. Step 5: Solve for x
    x = 89,311,175,172.69/317,303.24
  6. Step 6: Final answer
    x = 281,469.48

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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.