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Finding the Fourth Proportional to 420,020.74, 579,616.14 and 238,752.46

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Solution

The fourth proportional to 420,020.74, 579,616.14 and 238,752.46 is: 329,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,020.74 : 579,616.14 = 238,752.46 : x
  2. Step 2: Convert to fraction form
    420,020.74/579,616.14 = 238,752.46/x
  3. Step 3: Cross multiply
    420,020.74x = 579,616.14 × 238,752.46
  4. Step 4: Simplify right side
    420,020.74x = 138,384,779,280.70
  5. Step 5: Solve for x
    x = 138,384,779,280.70/420,020.74
  6. Step 6: Final answer
    x = 329,471.30

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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.