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Finding the Fourth Proportional to 380,250.22, 524,745.30 and 210,484.34

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Solution

The fourth proportional to 380,250.22, 524,745.30 and 210,484.34 is: 290,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,250.22 : 524,745.30 = 210,484.34 : x
  2. Step 2: Convert to fraction form
    380,250.22/524,745.30 = 210,484.34/x
  3. Step 3: Cross multiply
    380,250.22x = 524,745.30 × 210,484.34
  4. Step 4: Simplify right side
    380,250.22x = 110,450,668,138.60
  5. Step 5: Solve for x
    x = 110,450,668,138.60/380,250.22
  6. Step 6: Final answer
    x = 290,468.39

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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.