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Finding the Fourth Proportional to 345,413.60, 517,245.60 and 275,429.60

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Solution

The fourth proportional to 345,413.60, 517,245.60 and 275,429.60 is: 412,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,413.60 : 517,245.60 = 275,429.60 : x
  2. Step 2: Convert to fraction form
    345,413.60/517,245.60 = 275,429.60/x
  3. Step 3: Cross multiply
    345,413.60x = 517,245.60 × 275,429.60
  4. Step 4: Simplify right side
    345,413.60x = 142,464,748,709.76
  5. Step 5: Solve for x
    x = 142,464,748,709.76/345,413.60
  6. Step 6: Final answer
    x = 412,446.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.