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Finding the Fourth Proportional to 613,413.58, 920,156.94 and 192,689.32

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Solution

The fourth proportional to 613,413.58, 920,156.94 and 192,689.32 is: 289,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,413.58 : 920,156.94 = 192,689.32 : x
  2. Step 2: Convert to fraction form
    613,413.58/920,156.94 = 192,689.32/x
  3. Step 3: Cross multiply
    613,413.58x = 920,156.94 × 192,689.32
  4. Step 4: Simplify right side
    613,413.58x = 177,304,415,061.88
  5. Step 5: Solve for x
    x = 177,304,415,061.88/613,413.58
  6. Step 6: Final answer
    x = 289,045.47

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1.5x scale

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.