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Finding the Fourth Proportional to 284,057.42, 426,085.59 and 165,645.73

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Solution

The fourth proportional to 284,057.42, 426,085.59 and 165,645.73 is: 248,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,057.42 : 426,085.59 = 165,645.73 : x
  2. Step 2: Convert to fraction form
    284,057.42/426,085.59 = 165,645.73/x
  3. Step 3: Cross multiply
    284,057.42x = 426,085.59 × 165,645.73
  4. Step 4: Simplify right side
    284,057.42x = 70,579,256,467.60
  5. Step 5: Solve for x
    x = 70,579,256,467.60/284,057.42
  6. Step 6: Final answer
    x = 248,468.27

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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.