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Finding the Fourth Proportional to 335,123.84, 502,681.37 and 82,406.51

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Solution

The fourth proportional to 335,123.84, 502,681.37 and 82,406.51 is: 123,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,123.84 : 502,681.37 = 82,406.51 : x
  2. Step 2: Convert to fraction form
    335,123.84/502,681.37 = 82,406.51/x
  3. Step 3: Cross multiply
    335,123.84x = 502,681.37 × 82,406.51
  4. Step 4: Simplify right side
    335,123.84x = 41,424,214,418.28
  5. Step 5: Solve for x
    x = 41,424,214,418.28/335,123.84
  6. Step 6: Final answer
    x = 123,608.68

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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.