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Finding the Fourth Proportional to 309,792.24, 427,461.48 and 182,493.36

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Solution

The fourth proportional to 309,792.24, 427,461.48 and 182,493.36 is: 251,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,792.24 : 427,461.48 = 182,493.36 : x
  2. Step 2: Convert to fraction form
    309,792.24/427,461.48 = 182,493.36/x
  3. Step 3: Cross multiply
    309,792.24x = 427,461.48 × 182,493.36
  4. Step 4: Simplify right side
    309,792.24x = 78,008,881,755.77
  5. Step 5: Solve for x
    x = 78,008,881,755.77/309,792.24
  6. Step 6: Final answer
    x = 251,810.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.