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Finding the Fourth Proportional to 265,413.20, 397,147.80 and 195,429.20

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Solution

The fourth proportional to 265,413.20, 397,147.80 and 195,429.20 is: 292,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,413.20 : 397,147.80 = 195,429.20 : x
  2. Step 2: Convert to fraction form
    265,413.20/397,147.80 = 195,429.20/x
  3. Step 3: Cross multiply
    265,413.20x = 397,147.80 × 195,429.20
  4. Step 4: Simplify right side
    265,413.20x = 77,614,276,835.76
  5. Step 5: Solve for x
    x = 77,614,276,835.76/265,413.20
  6. Step 6: Final answer
    x = 292,428.10

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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.