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Finding the Fourth Proportional to 335,125.32, 502,683.63 and 82,408.02

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Solution

The fourth proportional to 335,125.32, 502,683.63 and 82,408.02 is: 123,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,125.32 : 502,683.63 = 82,408.02 : x
  2. Step 2: Convert to fraction form
    335,125.32/502,683.63 = 82,408.02/x
  3. Step 3: Cross multiply
    335,125.32x = 502,683.63 × 82,408.02
  4. Step 4: Simplify right side
    335,125.32x = 41,425,162,634.71
  5. Step 5: Solve for x
    x = 41,425,162,634.71/335,125.32
  6. Step 6: Final answer
    x = 123,610.96

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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.