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Finding the Fourth Proportional to 420,206, 579,851.80 and 238,920.20

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Solution

The fourth proportional to 420,206, 579,851.80 and 238,920.20 is: 329,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,206 : 579,851.80 = 238,920.20 : x
  2. Step 2: Convert to fraction form
    420,206/579,851.80 = 238,920.20/x
  3. Step 3: Cross multiply
    420,206x = 579,851.80 × 238,920.20
  4. Step 4: Simplify right side
    420,206x = 138,538,308,026.36
  5. Step 5: Solve for x
    x = 138,538,308,026.36/420,206
  6. Step 6: Final answer
    x = 329,691.41

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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.