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Finding the Fourth Proportional to 354,413.52, 531,018.48 and 213,876.84

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Solution

The fourth proportional to 354,413.52, 531,018.48 and 213,876.84 is: 320,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,413.52 : 531,018.48 = 213,876.84 : x
  2. Step 2: Convert to fraction form
    354,413.52/531,018.48 = 213,876.84/x
  3. Step 3: Cross multiply
    354,413.52x = 531,018.48 × 213,876.84
  4. Step 4: Simplify right side
    354,413.52x = 113,572,554,484.00
  5. Step 5: Solve for x
    x = 113,572,554,484.00/354,413.52
  6. Step 6: Final answer
    x = 320,452.09

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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.