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Finding the Fourth Proportional to 414,357.73, 621,536.59 and 274,083.55

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Solution

The fourth proportional to 414,357.73, 621,536.59 and 274,083.55 is: 411,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,357.73 : 621,536.59 = 274,083.55 : x
  2. Step 2: Convert to fraction form
    414,357.73/621,536.59 = 274,083.55/x
  3. Step 3: Cross multiply
    414,357.73x = 621,536.59 × 274,083.55
  4. Step 4: Simplify right side
    414,357.73x = 170,352,953,830.86
  5. Step 5: Solve for x
    x = 170,352,953,830.86/414,357.73
  6. Step 6: Final answer
    x = 411,125.32

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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.