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Finding the Fourth Proportional to 469,467.32, 647,847.42 and 278,366.36

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Solution

The fourth proportional to 469,467.32, 647,847.42 and 278,366.36 is: 384,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,467.32 : 647,847.42 = 278,366.36 : x
  2. Step 2: Convert to fraction form
    469,467.32/647,847.42 = 278,366.36/x
  3. Step 3: Cross multiply
    469,467.32x = 647,847.42 × 278,366.36
  4. Step 4: Simplify right side
    469,467.32x = 180,338,928,140.79
  5. Step 5: Solve for x
    x = 180,338,928,140.79/469,467.32
  6. Step 6: Final answer
    x = 384,135.21

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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.