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Finding the Fourth Proportional to 427,441, 589,817.54 and 236,428.42

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Solution

The fourth proportional to 427,441, 589,817.54 and 236,428.42 is: 326,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,441 : 589,817.54 = 236,428.42 : x
  2. Step 2: Convert to fraction form
    427,441/589,817.54 = 236,428.42/x
  3. Step 3: Cross multiply
    427,441x = 589,817.54 × 236,428.42
  4. Step 4: Simplify right side
    427,441x = 139,449,629,070.49
  5. Step 5: Solve for x
    x = 139,449,629,070.49/427,441
  6. Step 6: Final answer
    x = 326,242.99

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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.