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Finding the Fourth Proportional to 382,199.36, 527,437.12 and 212,449.28

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Solution

The fourth proportional to 382,199.36, 527,437.12 and 212,449.28 is: 293,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,199.36 : 527,437.12 = 212,449.28 : x
  2. Step 2: Convert to fraction form
    382,199.36/527,437.12 = 212,449.28/x
  3. Step 3: Cross multiply
    382,199.36x = 527,437.12 × 212,449.28
  4. Step 4: Simplify right side
    382,199.36x = 112,053,636,389.27
  5. Step 5: Solve for x
    x = 112,053,636,389.27/382,199.36
  6. Step 6: Final answer
    x = 293,181.12

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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.