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Finding the Fourth Proportional to 422,413.66, 582,931.65 and 231,426.46

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Solution

The fourth proportional to 422,413.66, 582,931.65 and 231,426.46 is: 319,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,413.66 : 582,931.65 = 231,426.46 : x
  2. Step 2: Convert to fraction form
    422,413.66/582,931.65 = 231,426.46/x
  3. Step 3: Cross multiply
    422,413.66x = 582,931.65 × 231,426.46
  4. Step 4: Simplify right side
    422,413.66x = 134,905,808,181.46
  5. Step 5: Solve for x
    x = 134,905,808,181.46/422,413.66
  6. Step 6: Final answer
    x = 319,368.95

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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.