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Finding the Fourth Proportional to 340,413.84, 510,620.22 and 140,514.48

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Solution

The fourth proportional to 340,413.84, 510,620.22 and 140,514.48 is: 210,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,413.84 : 510,620.22 = 140,514.48 : x
  2. Step 2: Convert to fraction form
    340,413.84/510,620.22 = 140,514.48/x
  3. Step 3: Cross multiply
    340,413.84x = 510,620.22 × 140,514.48
  4. Step 4: Simplify right side
    340,413.84x = 71,749,534,690.79
  5. Step 5: Solve for x
    x = 71,749,534,690.79/340,413.84
  6. Step 6: Final answer
    x = 210,771.50

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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.