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Finding the Fourth Proportional to 307,973, 461,977.02 and 86,374.28

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Solution

The fourth proportional to 307,973, 461,977.02 and 86,374.28 is: 129,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,973 : 461,977.02 = 86,374.28 : x
  2. Step 2: Convert to fraction form
    307,973/461,977.02 = 86,374.28/x
  3. Step 3: Cross multiply
    307,973x = 461,977.02 × 86,374.28
  4. Step 4: Simplify right side
    307,973x = 39,902,932,479.05
  5. Step 5: Solve for x
    x = 39,902,932,479.05/307,973
  6. Step 6: Final answer
    x = 129,566.33

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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.