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Finding the Fourth Proportional to 267,383.80, 401,075.70 and 214,895.80

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Solution

The fourth proportional to 267,383.80, 401,075.70 and 214,895.80 is: 322,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,383.80 : 401,075.70 = 214,895.80 : x
  2. Step 2: Convert to fraction form
    267,383.80/401,075.70 = 214,895.80/x
  3. Step 3: Cross multiply
    267,383.80x = 401,075.70 × 214,895.80
  4. Step 4: Simplify right side
    267,383.80x = 86,189,483,412.06
  5. Step 5: Solve for x
    x = 86,189,483,412.06/267,383.80
  6. Step 6: Final answer
    x = 322,343.70

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Why These Related Problems?

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