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Finding the Fourth Proportional to 299,023.49, 412,646.32 and 164,887.49

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Solution

The fourth proportional to 299,023.49, 412,646.32 and 164,887.49 is: 227,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,023.49 : 412,646.32 = 164,887.49 : x
  2. Step 2: Convert to fraction form
    299,023.49/412,646.32 = 164,887.49/x
  3. Step 3: Cross multiply
    299,023.49x = 412,646.32 × 164,887.49
  4. Step 4: Simplify right side
    299,023.49x = 68,040,215,962.54
  5. Step 5: Solve for x
    x = 68,040,215,962.54/299,023.49
  6. Step 6: Final answer
    x = 227,541.37

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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.