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Finding the Fourth Proportional to 538,090.70, 742,544.82 and 323,349.17

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Solution

The fourth proportional to 538,090.70, 742,544.82 and 323,349.17 is: 446,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,090.70 : 742,544.82 = 323,349.17 : x
  2. Step 2: Convert to fraction form
    538,090.70/742,544.82 = 323,349.17/x
  3. Step 3: Cross multiply
    538,090.70x = 742,544.82 × 323,349.17
  4. Step 4: Simplify right side
    538,090.70x = 240,101,247,522.08
  5. Step 5: Solve for x
    x = 240,101,247,522.08/538,090.70
  6. Step 6: Final answer
    x = 446,209.63

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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.