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Finding the Fourth Proportional to 978,761.40, 1,467,413.10 and 505,786.20

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Solution

The fourth proportional to 978,761.40, 1,467,413.10 and 505,786.20 is: 758,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,761.40 : 1,467,413.10 = 505,786.20 : x
  2. Step 2: Convert to fraction form
    978,761.40/1,467,413.10 = 505,786.20/x
  3. Step 3: Cross multiply
    978,761.40x = 1,467,413.10 × 505,786.20
  4. Step 4: Simplify right side
    978,761.40x = 742,197,295,679.22
  5. Step 5: Solve for x
    x = 742,197,295,679.22/978,761.40
  6. Step 6: Final answer
    x = 758,302.58

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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.