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Finding the Fourth Proportional to 367,446.84, 507,082.86 and 204,099

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Solution

The fourth proportional to 367,446.84, 507,082.86 and 204,099 is: 281,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,446.84 : 507,082.86 = 204,099 : x
  2. Step 2: Convert to fraction form
    367,446.84/507,082.86 = 204,099/x
  3. Step 3: Cross multiply
    367,446.84x = 507,082.86 × 204,099
  4. Step 4: Simplify right side
    367,446.84x = 103,495,104,643.14
  5. Step 5: Solve for x
    x = 103,495,104,643.14/367,446.84
  6. Step 6: Final answer
    x = 281,660.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.