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Finding the Fourth Proportional to 420,082.40, 579,690.68 and 238,769.17

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Solution

The fourth proportional to 420,082.40, 579,690.68 and 238,769.17 is: 329,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,082.40 : 579,690.68 = 238,769.17 : x
  2. Step 2: Convert to fraction form
    420,082.40/579,690.68 = 238,769.17/x
  3. Step 3: Cross multiply
    420,082.40x = 579,690.68 × 238,769.17
  4. Step 4: Simplify right side
    420,082.40x = 138,412,259,877.26
  5. Step 5: Solve for x
    x = 138,412,259,877.26/420,082.40
  6. Step 6: Final answer
    x = 329,488.36

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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.