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Finding the Fourth Proportional to 233,413.84, 350,047.32 and 75,605.68

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Solution

The fourth proportional to 233,413.84, 350,047.32 and 75,605.68 is: 113,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,413.84 : 350,047.32 = 75,605.68 : x
  2. Step 2: Convert to fraction form
    233,413.84/350,047.32 = 75,605.68/x
  3. Step 3: Cross multiply
    233,413.84x = 350,047.32 × 75,605.68
  4. Step 4: Simplify right side
    233,413.84x = 26,465,565,660.78
  5. Step 5: Solve for x
    x = 26,465,565,660.78/233,413.84
  6. Step 6: Final answer
    x = 113,384.73

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1.5x scale

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.