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Finding the Fourth Proportional to 455,366.16, 683,469 and 230,883.84

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Solution

The fourth proportional to 455,366.16, 683,469 and 230,883.84 is: 346,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,366.16 : 683,469 = 230,883.84 : x
  2. Step 2: Convert to fraction form
    455,366.16/683,469 = 230,883.84/x
  3. Step 3: Cross multiply
    455,366.16x = 683,469 × 230,883.84
  4. Step 4: Simplify right side
    455,366.16x = 157,801,947,240.96
  5. Step 5: Solve for x
    x = 157,801,947,240.96/455,366.16
  6. Step 6: Final answer
    x = 346,538.59

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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.