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Finding the Fourth Proportional to 380,413.32, 524,970.34 and 210,647.44

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Solution

The fourth proportional to 380,413.32, 524,970.34 and 210,647.44 is: 290,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,413.32 : 524,970.34 = 210,647.44 : x
  2. Step 2: Convert to fraction form
    380,413.32/524,970.34 = 210,647.44/x
  3. Step 3: Cross multiply
    380,413.32x = 524,970.34 × 210,647.44
  4. Step 4: Simplify right side
    380,413.32x = 110,583,658,196.93
  5. Step 5: Solve for x
    x = 110,583,658,196.93/380,413.32
  6. Step 6: Final answer
    x = 290,693.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.