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Finding the Fourth Proportional to 317,441, 476,161.50 and 95,825

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Solution

The fourth proportional to 317,441, 476,161.50 and 95,825 is: 143,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,441 : 476,161.50 = 95,825 : x
  2. Step 2: Convert to fraction form
    317,441/476,161.50 = 95,825/x
  3. Step 3: Cross multiply
    317,441x = 476,161.50 × 95,825
  4. Step 4: Simplify right side
    317,441x = 45,628,175,737.50
  5. Step 5: Solve for x
    x = 45,628,175,737.50/317,441
  6. Step 6: Final answer
    x = 143,737.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.