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Finding the Fourth Proportional to 380,822.31, 570,672.14 and 212,110.38

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Solution

The fourth proportional to 380,822.31, 570,672.14 and 212,110.38 is: 317,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,822.31 : 570,672.14 = 212,110.38 : x
  2. Step 2: Convert to fraction form
    380,822.31/570,672.14 = 212,110.38/x
  3. Step 3: Cross multiply
    380,822.31x = 570,672.14 × 212,110.38
  4. Step 4: Simplify right side
    380,822.31x = 121,045,483,410.26
  5. Step 5: Solve for x
    x = 121,045,483,410.26/380,822.31
  6. Step 6: Final answer
    x = 317,852.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.