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Finding the Fourth Proportional to 468,438, 702,676.44 and 136,014

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Solution

The fourth proportional to 468,438, 702,676.44 and 136,014 is: 204,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,438 : 702,676.44 = 136,014 : x
  2. Step 2: Convert to fraction form
    468,438/702,676.44 = 136,014/x
  3. Step 3: Cross multiply
    468,438x = 702,676.44 × 136,014
  4. Step 4: Simplify right side
    468,438x = 95,573,833,310.16
  5. Step 5: Solve for x
    x = 95,573,833,310.16/468,438
  6. Step 6: Final answer
    x = 204,026.64

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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.