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Finding the Fourth Proportional to 566,413.68, 781,621.20 and 311,716.20

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Solution

The fourth proportional to 566,413.68, 781,621.20 and 311,716.20 is: 430,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,413.68 : 781,621.20 = 311,716.20 : x
  2. Step 2: Convert to fraction form
    566,413.68/781,621.20 = 311,716.20/x
  3. Step 3: Cross multiply
    566,413.68x = 781,621.20 × 311,716.20
  4. Step 4: Simplify right side
    566,413.68x = 243,643,990,303.44
  5. Step 5: Solve for x
    x = 243,643,990,303.44/566,413.68
  6. Step 6: Final answer
    x = 430,152.02

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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.