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Finding the Fourth Proportional to 456,413.40, 684,620.10 and 267,456.60

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Solution

The fourth proportional to 456,413.40, 684,620.10 and 267,456.60 is: 401,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,413.40 : 684,620.10 = 267,456.60 : x
  2. Step 2: Convert to fraction form
    456,413.40/684,620.10 = 267,456.60/x
  3. Step 3: Cross multiply
    456,413.40x = 684,620.10 × 267,456.60
  4. Step 4: Simplify right side
    456,413.40x = 183,106,164,237.66
  5. Step 5: Solve for x
    x = 183,106,164,237.66/456,413.40
  6. Step 6: Final answer
    x = 401,184.90

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Why These Related Problems?

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