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Finding the Fourth Proportional to 380,853.12, 525,556.44 and 211,077.12

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Solution

The fourth proportional to 380,853.12, 525,556.44 and 211,077.12 is: 291,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,853.12 : 525,556.44 = 211,077.12 : x
  2. Step 2: Convert to fraction form
    380,853.12/525,556.44 = 211,077.12/x
  3. Step 3: Cross multiply
    380,853.12x = 525,556.44 × 211,077.12
  4. Step 4: Simplify right side
    380,853.12x = 110,932,939,752.65
  5. Step 5: Solve for x
    x = 110,932,939,752.65/380,853.12
  6. Step 6: Final answer
    x = 291,274.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.