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Finding the Fourth Proportional to 335,125.34, 502,683.62 and 82,408.01

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Solution

The fourth proportional to 335,125.34, 502,683.62 and 82,408.01 is: 123,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,125.34 : 502,683.62 = 82,408.01 : x
  2. Step 2: Convert to fraction form
    335,125.34/502,683.62 = 82,408.01/x
  3. Step 3: Cross multiply
    335,125.34x = 502,683.62 × 82,408.01
  4. Step 4: Simplify right side
    335,125.34x = 41,425,153,858.34
  5. Step 5: Solve for x
    x = 41,425,153,858.34/335,125.34
  6. Step 6: Final answer
    x = 123,610.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.