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Finding the Fourth Proportional to 267,597.34, 401,394.18 and 65,191.06

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Solution

The fourth proportional to 267,597.34, 401,394.18 and 65,191.06 is: 97,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,597.34 : 401,394.18 = 65,191.06 : x
  2. Step 2: Convert to fraction form
    267,597.34/401,394.18 = 65,191.06/x
  3. Step 3: Cross multiply
    267,597.34x = 401,394.18 × 65,191.06
  4. Step 4: Simplify right side
    267,597.34x = 26,167,312,072.03
  5. Step 5: Solve for x
    x = 26,167,312,072.03/267,597.34
  6. Step 6: Final answer
    x = 97,786.14

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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.