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Finding the Fourth Proportional to 365,413.60, 547,342.80 and 295,429.60

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Solution

The fourth proportional to 365,413.60, 547,342.80 and 295,429.60 is: 442,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,413.60 : 547,342.80 = 295,429.60 : x
  2. Step 2: Convert to fraction form
    365,413.60/547,342.80 = 295,429.60/x
  3. Step 3: Cross multiply
    365,413.60x = 547,342.80 × 295,429.60
  4. Step 4: Simplify right side
    365,413.60x = 161,701,264,466.88
  5. Step 5: Solve for x
    x = 161,701,264,466.88/365,413.60
  6. Step 6: Final answer
    x = 442,515.73

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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.