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Finding the Fourth Proportional to 614,413.26, 847,908.27 and 359,740.62

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Solution

The fourth proportional to 614,413.26, 847,908.27 and 359,740.62 is: 496,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,413.26 : 847,908.27 = 359,740.62 : x
  2. Step 2: Convert to fraction form
    614,413.26/847,908.27 = 359,740.62/x
  3. Step 3: Cross multiply
    614,413.26x = 847,908.27 × 359,740.62
  4. Step 4: Simplify right side
    614,413.26x = 305,027,046,752.93
  5. Step 5: Solve for x
    x = 305,027,046,752.93/614,413.26
  6. Step 6: Final answer
    x = 496,452.58

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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.