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Finding the Fourth Proportional to 420,083.40, 579,692.05 and 238,770.17

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Solution

The fourth proportional to 420,083.40, 579,692.05 and 238,770.17 is: 329,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,083.40 : 579,692.05 = 238,770.17 : x
  2. Step 2: Convert to fraction form
    420,083.40/579,692.05 = 238,770.17/x
  3. Step 3: Cross multiply
    420,083.40x = 579,692.05 × 238,770.17
  4. Step 4: Simplify right side
    420,083.40x = 138,413,169,326.15
  5. Step 5: Solve for x
    x = 138,413,169,326.15/420,083.40
  6. Step 6: Final answer
    x = 329,489.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.