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Finding the Fourth Proportional to 314,093.46, 469,951.28 and 186,078.48

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Solution

The fourth proportional to 314,093.46, 469,951.28 and 186,078.48 is: 278,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,093.46 : 469,951.28 = 186,078.48 : x
  2. Step 2: Convert to fraction form
    314,093.46/469,951.28 = 186,078.48/x
  3. Step 3: Cross multiply
    314,093.46x = 469,951.28 × 186,078.48
  4. Step 4: Simplify right side
    314,093.46x = 87,447,819,623.86
  5. Step 5: Solve for x
    x = 87,447,819,623.86/314,093.46
  6. Step 6: Final answer
    x = 278,413.37

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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.