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Finding the Fourth Proportional to 300,526.61, 414,736.11 and 164,573.46

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Solution

The fourth proportional to 300,526.61, 414,736.11 and 164,573.46 is: 227,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,526.61 : 414,736.11 = 164,573.46 : x
  2. Step 2: Convert to fraction form
    300,526.61/414,736.11 = 164,573.46/x
  3. Step 3: Cross multiply
    300,526.61x = 414,736.11 × 164,573.46
  4. Step 4: Simplify right side
    300,526.61x = 68,254,556,609.64
  5. Step 5: Solve for x
    x = 68,254,556,609.64/300,526.61
  6. Step 6: Final answer
    x = 227,116.52

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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.