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Finding the Fourth Proportional to 280,478.27, 420,467.32 and 102,944.09

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Solution

The fourth proportional to 280,478.27, 420,467.32 and 102,944.09 is: 154,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,478.27 : 420,467.32 = 102,944.09 : x
  2. Step 2: Convert to fraction form
    280,478.27/420,467.32 = 102,944.09/x
  3. Step 3: Cross multiply
    280,478.27x = 420,467.32 × 102,944.09
  4. Step 4: Simplify right side
    280,478.27x = 43,284,625,117.42
  5. Step 5: Solve for x
    x = 43,284,625,117.42/280,478.27
  6. Step 6: Final answer
    x = 154,324.34

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1.5x scale

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.