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Finding the Fourth Proportional to 427,114.13, 589,429.80 and 236,139.82

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Solution

The fourth proportional to 427,114.13, 589,429.80 and 236,139.82 is: 325,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,114.13 : 589,429.80 = 236,139.82 : x
  2. Step 2: Convert to fraction form
    427,114.13/589,429.80 = 236,139.82/x
  3. Step 3: Cross multiply
    427,114.13x = 589,429.80 × 236,139.82
  4. Step 4: Simplify right side
    427,114.13x = 139,187,845,401.06
  5. Step 5: Solve for x
    x = 139,187,845,401.06/427,114.13
  6. Step 6: Final answer
    x = 325,879.75

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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.