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Finding the Fourth Proportional to 434,997.76, 652,418.56 and 119,413.12

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Solution

The fourth proportional to 434,997.76, 652,418.56 and 119,413.12 is: 179,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,997.76 : 652,418.56 = 119,413.12 : x
  2. Step 2: Convert to fraction form
    434,997.76/652,418.56 = 119,413.12/x
  3. Step 3: Cross multiply
    434,997.76x = 652,418.56 × 119,413.12
  4. Step 4: Simplify right side
    434,997.76x = 77,907,335,795.51
  5. Step 5: Solve for x
    x = 77,907,335,795.51/434,997.76
  6. Step 6: Final answer
    x = 179,098.25

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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.