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Finding the Fourth Proportional to 582,413.17, 803,597.20 and 327,671.41

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Solution

The fourth proportional to 582,413.17, 803,597.20 and 327,671.41 is: 452,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,413.17 : 803,597.20 = 327,671.41 : x
  2. Step 2: Convert to fraction form
    582,413.17/803,597.20 = 327,671.41/x
  3. Step 3: Cross multiply
    582,413.17x = 803,597.20 × 327,671.41
  4. Step 4: Simplify right side
    582,413.17x = 263,315,827,596.05
  5. Step 5: Solve for x
    x = 263,315,827,596.05/582,413.17
  6. Step 6: Final answer
    x = 452,111.73

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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.