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Finding the Fourth Proportional to 412,307.58, 617,083.33 and 234,766.94

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Solution

The fourth proportional to 412,307.58, 617,083.33 and 234,766.94 is: 351,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,307.58 : 617,083.33 = 234,766.94 : x
  2. Step 2: Convert to fraction form
    412,307.58/617,083.33 = 234,766.94/x
  3. Step 3: Cross multiply
    412,307.58x = 617,083.33 × 234,766.94
  4. Step 4: Simplify right side
    412,307.58x = 144,870,765,109.11
  5. Step 5: Solve for x
    x = 144,870,765,109.11/412,307.58
  6. Step 6: Final answer
    x = 351,365.76

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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.