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Finding the Fourth Proportional to 380,706.82, 525,375.36 and 227,751.46

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Solution

The fourth proportional to 380,706.82, 525,375.36 and 227,751.46 is: 314,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,706.82 : 525,375.36 = 227,751.46 : x
  2. Step 2: Convert to fraction form
    380,706.82/525,375.36 = 227,751.46/x
  3. Step 3: Cross multiply
    380,706.82x = 525,375.36 × 227,751.46
  4. Step 4: Simplify right side
    380,706.82x = 119,655,005,288.03
  5. Step 5: Solve for x
    x = 119,655,005,288.03/380,706.82
  6. Step 6: Final answer
    x = 314,296.98

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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.