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Finding the Fourth Proportional to 267,409.80, 401,114.70 and 214,921.80

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Solution

The fourth proportional to 267,409.80, 401,114.70 and 214,921.80 is: 322,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,409.80 : 401,114.70 = 214,921.80 : x
  2. Step 2: Convert to fraction form
    267,409.80/401,114.70 = 214,921.80/x
  3. Step 3: Cross multiply
    267,409.80x = 401,114.70 × 214,921.80
  4. Step 4: Simplify right side
    267,409.80x = 86,208,293,330.46
  5. Step 5: Solve for x
    x = 86,208,293,330.46/267,409.80
  6. Step 6: Final answer
    x = 322,382.70

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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.