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Finding the Fourth Proportional to 412,312.82, 568,938.80 and 230,980.14

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Solution

The fourth proportional to 412,312.82, 568,938.80 and 230,980.14 is: 318,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,312.82 : 568,938.80 = 230,980.14 : x
  2. Step 2: Convert to fraction form
    412,312.82/568,938.80 = 230,980.14/x
  3. Step 3: Cross multiply
    412,312.82x = 568,938.80 × 230,980.14
  4. Step 4: Simplify right side
    412,312.82x = 131,413,564,252.88
  5. Step 5: Solve for x
    x = 131,413,564,252.88/412,312.82
  6. Step 6: Final answer
    x = 318,722.97

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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.