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Finding the Fourth Proportional to 380,413.67, 524,964.38 and 210,644.15

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Solution

The fourth proportional to 380,413.67, 524,964.38 and 210,644.15 is: 290,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,413.67 : 524,964.38 = 210,644.15 : x
  2. Step 2: Convert to fraction form
    380,413.67/524,964.38 = 210,644.15/x
  3. Step 3: Cross multiply
    380,413.67x = 524,964.38 × 210,644.15
  4. Step 4: Simplify right side
    380,413.67x = 110,580,671,927.33
  5. Step 5: Solve for x
    x = 110,580,671,927.33/380,413.67
  6. Step 6: Final answer
    x = 290,685.33

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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.