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Finding the Fourth Proportional to 370,589.61, 511,413.62 and 200,823.74

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Solution

The fourth proportional to 370,589.61, 511,413.62 and 200,823.74 is: 277,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,589.61 : 511,413.62 = 200,823.74 : x
  2. Step 2: Convert to fraction form
    370,589.61/511,413.62 = 200,823.74/x
  3. Step 3: Cross multiply
    370,589.61x = 511,413.62 × 200,823.74
  4. Step 4: Simplify right side
    370,589.61x = 102,703,992,294.15
  5. Step 5: Solve for x
    x = 102,703,992,294.15/370,589.61
  6. Step 6: Final answer
    x = 277,136.73

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1.5x scale

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.