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Finding the Fourth Proportional to 280,378.44, 420,565.50 and 70,014.96

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Solution

The fourth proportional to 280,378.44, 420,565.50 and 70,014.96 is: 105,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,378.44 : 420,565.50 = 70,014.96 : x
  2. Step 2: Convert to fraction form
    280,378.44/420,565.50 = 70,014.96/x
  3. Step 3: Cross multiply
    280,378.44x = 420,565.50 × 70,014.96
  4. Step 4: Simplify right side
    280,378.44x = 29,445,876,659.88
  5. Step 5: Solve for x
    x = 29,445,876,659.88/280,378.44
  6. Step 6: Final answer
    x = 105,021.90

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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.