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Finding the Fourth Proportional to 280,847.40, 393,886.20 and 280,847.40

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Solution

The fourth proportional to 280,847.40, 393,886.20 and 280,847.40 is: 393,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,847.40 : 393,886.20 = 280,847.40 : x
  2. Step 2: Convert to fraction form
    280,847.40/393,886.20 = 280,847.40/x
  3. Step 3: Cross multiply
    280,847.40x = 393,886.20 × 280,847.40
  4. Step 4: Simplify right side
    280,847.40x = 110,621,915,165.88
  5. Step 5: Solve for x
    x = 110,621,915,165.88/280,847.40
  6. Step 6: Final answer
    x = 393,886.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.