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Finding the Fourth Proportional to 299,091.24, 412,734.42 and 164,955.24

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Solution

The fourth proportional to 299,091.24, 412,734.42 and 164,955.24 is: 227,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,091.24 : 412,734.42 = 164,955.24 : x
  2. Step 2: Convert to fraction form
    299,091.24/412,734.42 = 164,955.24/x
  3. Step 3: Cross multiply
    299,091.24x = 412,734.42 × 164,955.24
  4. Step 4: Simplify right side
    299,091.24x = 68,082,705,307.36
  5. Step 5: Solve for x
    x = 68,082,705,307.36/299,091.24
  6. Step 6: Final answer
    x = 227,631.89

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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.