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Finding the Fourth Proportional to 356,404, 491,837.52 and 197,428

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Solution

The fourth proportional to 356,404, 491,837.52 and 197,428 is: 272,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,404 : 491,837.52 = 197,428 : x
  2. Step 2: Convert to fraction form
    356,404/491,837.52 = 197,428/x
  3. Step 3: Cross multiply
    356,404x = 491,837.52 × 197,428
  4. Step 4: Simplify right side
    356,404x = 97,102,497,898.56
  5. Step 5: Solve for x
    x = 97,102,497,898.56/356,404
  6. Step 6: Final answer
    x = 272,450.64

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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.