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Finding the Fourth Proportional to 455,706.29, 683,092.85 and 189,621.29

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Solution

The fourth proportional to 455,706.29, 683,092.85 and 189,621.29 is: 284,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,706.29 : 683,092.85 = 189,621.29 : x
  2. Step 2: Convert to fraction form
    455,706.29/683,092.85 = 189,621.29/x
  3. Step 3: Cross multiply
    455,706.29x = 683,092.85 × 189,621.29
  4. Step 4: Simplify right side
    455,706.29x = 129,528,948,166.40
  5. Step 5: Solve for x
    x = 129,528,948,166.40/455,706.29
  6. Step 6: Final answer
    x = 284,237.79

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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.