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Finding the Fourth Proportional to 338,933.54, 508,413.54 and 102,276.25

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Solution

The fourth proportional to 338,933.54, 508,413.54 and 102,276.25 is: 153,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,933.54 : 508,413.54 = 102,276.25 : x
  2. Step 2: Convert to fraction form
    338,933.54/508,413.54 = 102,276.25/x
  3. Step 3: Cross multiply
    338,933.54x = 508,413.54 × 102,276.25
  4. Step 4: Simplify right side
    338,933.54x = 51,998,630,320.43
  5. Step 5: Solve for x
    x = 51,998,630,320.43/338,933.54
  6. Step 6: Final answer
    x = 153,418.37

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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.