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Finding the Fourth Proportional to 442,083.50, 610,075.32 and 240,879.50

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Solution

The fourth proportional to 442,083.50, 610,075.32 and 240,879.50 is: 332,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,083.50 : 610,075.32 = 240,879.50 : x
  2. Step 2: Convert to fraction form
    442,083.50/610,075.32 = 240,879.50/x
  3. Step 3: Cross multiply
    442,083.50x = 610,075.32 × 240,879.50
  4. Step 4: Simplify right side
    442,083.50x = 146,954,638,043.94
  5. Step 5: Solve for x
    x = 146,954,638,043.94/442,083.50
  6. Step 6: Final answer
    x = 332,413.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.