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Finding the Fourth Proportional to 619,251, 854,566.11 and 361,078.13

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Solution

The fourth proportional to 619,251, 854,566.11 and 361,078.13 is: 498,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,251 : 854,566.11 = 361,078.13 : x
  2. Step 2: Convert to fraction form
    619,251/854,566.11 = 361,078.13/x
  3. Step 3: Cross multiply
    619,251x = 854,566.11 × 361,078.13
  4. Step 4: Simplify right side
    619,251x = 308,565,132,960.17
  5. Step 5: Solve for x
    x = 308,565,132,960.17/619,251
  6. Step 6: Final answer
    x = 498,287.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.