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Finding the Fourth Proportional to 284,224.33, 426,123.23 and 171,881.54

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Solution

The fourth proportional to 284,224.33, 426,123.23 and 171,881.54 is: 257,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,224.33 : 426,123.23 = 171,881.54 : x
  2. Step 2: Convert to fraction form
    284,224.33/426,123.23 = 171,881.54/x
  3. Step 3: Cross multiply
    284,224.33x = 426,123.23 × 171,881.54
  4. Step 4: Simplify right side
    284,224.33x = 73,242,714,871.56
  5. Step 5: Solve for x
    x = 73,242,714,871.56/284,224.33
  6. Step 6: Final answer
    x = 257,693.34

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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.