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Finding the Fourth Proportional to 288,877.54, 398,649.64 and 161,553.64

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Solution

The fourth proportional to 288,877.54, 398,649.64 and 161,553.64 is: 222,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,877.54 : 398,649.64 = 161,553.64 : x
  2. Step 2: Convert to fraction form
    288,877.54/398,649.64 = 161,553.64/x
  3. Step 3: Cross multiply
    288,877.54x = 398,649.64 × 161,553.64
  4. Step 4: Simplify right side
    288,877.54x = 64,403,298,029.56
  5. Step 5: Solve for x
    x = 64,403,298,029.56/288,877.54
  6. Step 6: Final answer
    x = 222,943.26

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1.5x scale

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.