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Finding the Fourth Proportional to 314,653.32, 434,219.04 and 171,413.28

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Solution

The fourth proportional to 314,653.32, 434,219.04 and 171,413.28 is: 236,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,653.32 : 434,219.04 = 171,413.28 : x
  2. Step 2: Convert to fraction form
    314,653.32/434,219.04 = 171,413.28/x
  3. Step 3: Cross multiply
    314,653.32x = 434,219.04 × 171,413.28
  4. Step 4: Simplify right side
    314,653.32x = 74,430,909,884.85
  5. Step 5: Solve for x
    x = 74,430,909,884.85/314,653.32
  6. Step 6: Final answer
    x = 236,548.94

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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.