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Finding the Fourth Proportional to 310,622.50, 465,933.75 and 100,291.42

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Solution

The fourth proportional to 310,622.50, 465,933.75 and 100,291.42 is: 150,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,622.50 : 465,933.75 = 100,291.42 : x
  2. Step 2: Convert to fraction form
    310,622.50/465,933.75 = 100,291.42/x
  3. Step 3: Cross multiply
    310,622.50x = 465,933.75 × 100,291.42
  4. Step 4: Simplify right side
    310,622.50x = 46,729,157,413.43
  5. Step 5: Solve for x
    x = 46,729,157,413.43/310,622.50
  6. Step 6: Final answer
    x = 150,437.13

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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.