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Finding the Fourth Proportional to 294,460.20, 406,324.56 and 165,413.16

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Solution

The fourth proportional to 294,460.20, 406,324.56 and 165,413.16 is: 228,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,460.20 : 406,324.56 = 165,413.16 : x
  2. Step 2: Convert to fraction form
    294,460.20/406,324.56 = 165,413.16/x
  3. Step 3: Cross multiply
    294,460.20x = 406,324.56 × 165,413.16
  4. Step 4: Simplify right side
    294,460.20x = 67,211,429,455.21
  5. Step 5: Solve for x
    x = 67,211,429,455.21/294,460.20
  6. Step 6: Final answer
    x = 228,253.02

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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.