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Finding the Fourth Proportional to 455,596.84, 683,449.94 and 189,537.36

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Solution

The fourth proportional to 455,596.84, 683,449.94 and 189,537.36 is: 284,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,596.84 : 683,449.94 = 189,537.36 : x
  2. Step 2: Convert to fraction form
    455,596.84/683,449.94 = 189,537.36/x
  3. Step 3: Cross multiply
    455,596.84x = 683,449.94 × 189,537.36
  4. Step 4: Simplify right side
    455,596.84x = 129,539,297,319.76
  5. Step 5: Solve for x
    x = 129,539,297,319.76/455,596.84
  6. Step 6: Final answer
    x = 284,328.79

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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.