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Finding the Fourth Proportional to 364,564.82, 546,325.95 and 267,742.58

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Solution

The fourth proportional to 364,564.82, 546,325.95 and 267,742.58 is: 401,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,564.82 : 546,325.95 = 267,742.58 : x
  2. Step 2: Convert to fraction form
    364,564.82/546,325.95 = 267,742.58/x
  3. Step 3: Cross multiply
    364,564.82x = 546,325.95 × 267,742.58
  4. Step 4: Simplify right side
    364,564.82x = 146,274,717,646.36
  5. Step 5: Solve for x
    x = 146,274,717,646.36/364,564.82
  6. Step 6: Final answer
    x = 401,231.03

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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.