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Finding the Fourth Proportional to 455,324.78, 683,020.33 and 174,842.03

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Solution

The fourth proportional to 455,324.78, 683,020.33 and 174,842.03 is: 262,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,324.78 : 683,020.33 = 174,842.03 : x
  2. Step 2: Convert to fraction form
    455,324.78/683,020.33 = 174,842.03/x
  3. Step 3: Cross multiply
    455,324.78x = 683,020.33 × 174,842.03
  4. Step 4: Simplify right side
    455,324.78x = 119,420,661,028.47
  5. Step 5: Solve for x
    x = 119,420,661,028.47/455,324.78
  6. Step 6: Final answer
    x = 262,275.78

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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.