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Finding the Fourth Proportional to 449,082.72, 673,547.54 and 149,529.33

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Solution

The fourth proportional to 449,082.72, 673,547.54 and 149,529.33 is: 224,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,082.72 : 673,547.54 = 149,529.33 : x
  2. Step 2: Convert to fraction form
    449,082.72/673,547.54 = 149,529.33/x
  3. Step 3: Cross multiply
    449,082.72x = 673,547.54 × 149,529.33
  4. Step 4: Simplify right side
    449,082.72x = 100,715,111,631.70
  5. Step 5: Solve for x
    x = 100,715,111,631.70/449,082.72
  6. Step 6: Final answer
    x = 224,268.51

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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.