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Finding the Fourth Proportional to 314,656.48, 434,222.04 and 171,413.47

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Solution

The fourth proportional to 314,656.48, 434,222.04 and 171,413.47 is: 236,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,656.48 : 434,222.04 = 171,413.47 : x
  2. Step 2: Convert to fraction form
    314,656.48/434,222.04 = 171,413.47/x
  3. Step 3: Cross multiply
    314,656.48x = 434,222.04 × 171,413.47
  4. Step 4: Simplify right side
    314,656.48x = 74,431,506,626.88
  5. Step 5: Solve for x
    x = 74,431,506,626.88/314,656.48
  6. Step 6: Final answer
    x = 236,548.46

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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.