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Finding the Fourth Proportional to 483,082.14, 724,715.26 and 194,916.64

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Solution

The fourth proportional to 483,082.14, 724,715.26 and 194,916.64 is: 292,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,082.14 : 724,715.26 = 194,916.64 : x
  2. Step 2: Convert to fraction form
    483,082.14/724,715.26 = 194,916.64/x
  3. Step 3: Cross multiply
    483,082.14x = 724,715.26 × 194,916.64
  4. Step 4: Simplify right side
    483,082.14x = 141,259,063,435.93
  5. Step 5: Solve for x
    x = 141,259,063,435.93/483,082.14
  6. Step 6: Final answer
    x = 292,412.10

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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.