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Finding the Fourth Proportional to 455,705.38, 683,555.46 and 185,832.46

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Solution

The fourth proportional to 455,705.38, 683,555.46 and 185,832.46 is: 278,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,705.38 : 683,555.46 = 185,832.46 : x
  2. Step 2: Convert to fraction form
    455,705.38/683,555.46 = 185,832.46/x
  3. Step 3: Cross multiply
    455,705.38x = 683,555.46 × 185,832.46
  4. Step 4: Simplify right side
    455,705.38x = 127,026,792,678.23
  5. Step 5: Solve for x
    x = 127,026,792,678.23/455,705.38
  6. Step 6: Final answer
    x = 278,747.63

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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.