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Finding the Fourth Proportional to 825,413.40, 1,153,216.80 and 825,413.40

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Solution

The fourth proportional to 825,413.40, 1,153,216.80 and 825,413.40 is: 1,153,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,413.40 : 1,153,216.80 = 825,413.40 : x
  2. Step 2: Convert to fraction form
    825,413.40/1,153,216.80 = 825,413.40/x
  3. Step 3: Cross multiply
    825,413.40x = 1,153,216.80 × 825,413.40
  4. Step 4: Simplify right side
    825,413.40x = 951,880,599,825.12
  5. Step 5: Solve for x
    x = 951,880,599,825.12/825,413.40
  6. Step 6: Final answer
    x = 1,153,216.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.