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Finding the Fourth Proportional to 300,643.34, 414,893.76 and 164,677.28

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Solution

The fourth proportional to 300,643.34, 414,893.76 and 164,677.28 is: 227,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,643.34 : 414,893.76 = 164,677.28 : x
  2. Step 2: Convert to fraction form
    300,643.34/414,893.76 = 164,677.28/x
  3. Step 3: Cross multiply
    300,643.34x = 414,893.76 × 164,677.28
  4. Step 4: Simplify right side
    300,643.34x = 68,323,573,811.30
  5. Step 5: Solve for x
    x = 68,323,573,811.30/300,643.34
  6. Step 6: Final answer
    x = 227,257.90

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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.