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Finding the Fourth Proportional to 267,429.68, 401,141.46 and 65,026.94

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Solution

The fourth proportional to 267,429.68, 401,141.46 and 65,026.94 is: 97,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,429.68 : 401,141.46 = 65,026.94 : x
  2. Step 2: Convert to fraction form
    267,429.68/401,141.46 = 65,026.94/x
  3. Step 3: Cross multiply
    267,429.68x = 401,141.46 × 65,026.94
  4. Step 4: Simplify right side
    267,429.68x = 26,084,999,889.08
  5. Step 5: Solve for x
    x = 26,084,999,889.08/267,429.68
  6. Step 6: Final answer
    x = 97,539.66

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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.