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Finding the Fourth Proportional to 475,954.16, 713,933.70 and 160,413.80

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Solution

The fourth proportional to 475,954.16, 713,933.70 and 160,413.80 is: 240,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,954.16 : 713,933.70 = 160,413.80 : x
  2. Step 2: Convert to fraction form
    475,954.16/713,933.70 = 160,413.80/x
  3. Step 3: Cross multiply
    475,954.16x = 713,933.70 × 160,413.80
  4. Step 4: Simplify right side
    475,954.16x = 114,524,817,765.06
  5. Step 5: Solve for x
    x = 114,524,817,765.06/475,954.16
  6. Step 6: Final answer
    x = 240,621.53

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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.