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Finding the Fourth Proportional to 546,413.60, 819,620.40 and 310,217.60

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Solution

The fourth proportional to 546,413.60, 819,620.40 and 310,217.60 is: 465,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,413.60 : 819,620.40 = 310,217.60 : x
  2. Step 2: Convert to fraction form
    546,413.60/819,620.40 = 310,217.60/x
  3. Step 3: Cross multiply
    546,413.60x = 819,620.40 × 310,217.60
  4. Step 4: Simplify right side
    546,413.60x = 254,260,673,399.04
  5. Step 5: Solve for x
    x = 254,260,673,399.04/546,413.60
  6. Step 6: Final answer
    x = 465,326.40

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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.