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Finding the Fourth Proportional to 261,069.40, 391,020.90 and 214,413.40

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Solution

The fourth proportional to 261,069.40, 391,020.90 and 214,413.40 is: 321,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,069.40 : 391,020.90 = 214,413.40 : x
  2. Step 2: Convert to fraction form
    261,069.40/391,020.90 = 214,413.40/x
  3. Step 3: Cross multiply
    261,069.40x = 391,020.90 × 214,413.40
  4. Step 4: Simplify right side
    261,069.40x = 83,840,120,640.06
  5. Step 5: Solve for x
    x = 83,840,120,640.06/261,069.40
  6. Step 6: Final answer
    x = 321,141.12

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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.