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Finding the Fourth Proportional to 262,096.82, 392,568.96 and 216,602.57

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Solution

The fourth proportional to 262,096.82, 392,568.96 and 216,602.57 is: 324,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,096.82 : 392,568.96 = 216,602.57 : x
  2. Step 2: Convert to fraction form
    262,096.82/392,568.96 = 216,602.57/x
  3. Step 3: Cross multiply
    262,096.82x = 392,568.96 × 216,602.57
  4. Step 4: Simplify right side
    262,096.82x = 85,031,447,431.91
  5. Step 5: Solve for x
    x = 85,031,447,431.91/262,096.82
  6. Step 6: Final answer
    x = 324,427.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.