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Finding the Fourth Proportional to 414,580.52, 621,804.30 and 148,291.40

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Solution

The fourth proportional to 414,580.52, 621,804.30 and 148,291.40 is: 222,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,580.52 : 621,804.30 = 148,291.40 : x
  2. Step 2: Convert to fraction form
    414,580.52/621,804.30 = 148,291.40/x
  3. Step 3: Cross multiply
    414,580.52x = 621,804.30 × 148,291.40
  4. Step 4: Simplify right side
    414,580.52x = 92,208,230,173.02
  5. Step 5: Solve for x
    x = 92,208,230,173.02/414,580.52
  6. Step 6: Final answer
    x = 222,413.32

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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.