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Finding the Fourth Proportional to 384,090.36, 530,045.28 and 214,324.98

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Solution

The fourth proportional to 384,090.36, 530,045.28 and 214,324.98 is: 295,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,090.36 : 530,045.28 = 214,324.98 : x
  2. Step 2: Convert to fraction form
    384,090.36/530,045.28 = 214,324.98/x
  3. Step 3: Cross multiply
    384,090.36x = 530,045.28 × 214,324.98
  4. Step 4: Simplify right side
    384,090.36x = 113,601,944,035.09
  5. Step 5: Solve for x
    x = 113,601,944,035.09/384,090.36
  6. Step 6: Final answer
    x = 295,768.80

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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.