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Finding the Fourth Proportional to 504,364.92, 696,023.46 and 278,014.20

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Solution

The fourth proportional to 504,364.92, 696,023.46 and 278,014.20 is: 383,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,364.92 : 696,023.46 = 278,014.20 : x
  2. Step 2: Convert to fraction form
    504,364.92/696,023.46 = 278,014.20/x
  3. Step 3: Cross multiply
    504,364.92x = 696,023.46 × 278,014.20
  4. Step 4: Simplify right side
    504,364.92x = 193,504,405,413.13
  5. Step 5: Solve for x
    x = 193,504,405,413.13/504,364.92
  6. Step 6: Final answer
    x = 383,659.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.