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Finding the Fourth Proportional to 538,123.50, 742,610.43 and 311,900.22

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Solution

The fourth proportional to 538,123.50, 742,610.43 and 311,900.22 is: 430,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,123.50 : 742,610.43 = 311,900.22 : x
  2. Step 2: Convert to fraction form
    538,123.50/742,610.43 = 311,900.22/x
  3. Step 3: Cross multiply
    538,123.50x = 742,610.43 × 311,900.22
  4. Step 4: Simplify right side
    538,123.50x = 231,620,356,491.30
  5. Step 5: Solve for x
    x = 231,620,356,491.30/538,123.50
  6. Step 6: Final answer
    x = 430,422.30

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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.