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Finding the Fourth Proportional to 410,383.44, 566,338.74 and 257,428.14

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Solution

The fourth proportional to 410,383.44, 566,338.74 and 257,428.14 is: 355,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,383.44 : 566,338.74 = 257,428.14 : x
  2. Step 2: Convert to fraction form
    410,383.44/566,338.74 = 257,428.14/x
  3. Step 3: Cross multiply
    410,383.44x = 566,338.74 × 257,428.14
  4. Step 4: Simplify right side
    410,383.44x = 145,791,528,448.14
  5. Step 5: Solve for x
    x = 145,791,528,448.14/410,383.44
  6. Step 6: Final answer
    x = 355,256.85

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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.