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Finding the Fourth Proportional to 380,775.12, 525,494.16 and 211,020.18

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Solution

The fourth proportional to 380,775.12, 525,494.16 and 211,020.18 is: 291,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,775.12 : 525,494.16 = 211,020.18 : x
  2. Step 2: Convert to fraction form
    380,775.12/525,494.16 = 211,020.18/x
  3. Step 3: Cross multiply
    380,775.12x = 525,494.16 × 211,020.18
  4. Step 4: Simplify right side
    380,775.12x = 110,889,872,232.15
  5. Step 5: Solve for x
    x = 110,889,872,232.15/380,775.12
  6. Step 6: Final answer
    x = 291,221.42

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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.