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Finding the Fourth Proportional to 567,062.94, 782,548.80 and 312,413.52

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Solution

The fourth proportional to 567,062.94, 782,548.80 and 312,413.52 is: 431,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,062.94 : 782,548.80 = 312,413.52 : x
  2. Step 2: Convert to fraction form
    567,062.94/782,548.80 = 312,413.52/x
  3. Step 3: Cross multiply
    567,062.94x = 782,548.80 × 312,413.52
  4. Step 4: Simplify right side
    567,062.94x = 244,478,825,179.78
  5. Step 5: Solve for x
    x = 244,478,825,179.78/567,062.94
  6. Step 6: Final answer
    x = 431,131.73

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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.