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Finding the Fourth Proportional to 455,561.82, 683,759.88 and 231,077.34

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Solution

The fourth proportional to 455,561.82, 683,759.88 and 231,077.34 is: 346,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,561.82 : 683,759.88 = 231,077.34 : x
  2. Step 2: Convert to fraction form
    455,561.82/683,759.88 = 231,077.34/x
  3. Step 3: Cross multiply
    455,561.82x = 683,759.88 × 231,077.34
  4. Step 4: Simplify right side
    455,561.82x = 158,001,414,269.12
  5. Step 5: Solve for x
    x = 158,001,414,269.12/455,561.82
  6. Step 6: Final answer
    x = 346,827.60

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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.