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Finding the Fourth Proportional to 295,413.42, 407,656.35 and 168,077.10

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Solution

The fourth proportional to 295,413.42, 407,656.35 and 168,077.10 is: 231,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,413.42 : 407,656.35 = 168,077.10 : x
  2. Step 2: Convert to fraction form
    295,413.42/407,656.35 = 168,077.10/x
  3. Step 3: Cross multiply
    295,413.42x = 407,656.35 × 168,077.10
  4. Step 4: Simplify right side
    295,413.42x = 68,517,697,104.59
  5. Step 5: Solve for x
    x = 68,517,697,104.59/295,413.42
  6. Step 6: Final answer
    x = 231,938.34

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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.