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Finding the Fourth Proportional to 494,439.14, 741,413.12 and 157,435.80

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Solution

The fourth proportional to 494,439.14, 741,413.12 and 157,435.80 is: 236,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,439.14 : 741,413.12 = 157,435.80 : x
  2. Step 2: Convert to fraction form
    494,439.14/741,413.12 = 157,435.80/x
  3. Step 3: Cross multiply
    494,439.14x = 741,413.12 × 157,435.80
  4. Step 4: Simplify right side
    494,439.14x = 116,724,966,890.52
  5. Step 5: Solve for x
    x = 116,724,966,890.52/494,439.14
  6. Step 6: Final answer
    x = 236,075.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.