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Finding the Fourth Proportional to 307,082.84, 460,536.78 and 194,593.28

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Solution

The fourth proportional to 307,082.84, 460,536.78 and 194,593.28 is: 291,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,082.84 : 460,536.78 = 194,593.28 : x
  2. Step 2: Convert to fraction form
    307,082.84/460,536.78 = 194,593.28/x
  3. Step 3: Cross multiply
    307,082.84x = 460,536.78 × 194,593.28
  4. Step 4: Simplify right side
    307,082.84x = 89,617,362,580.84
  5. Step 5: Solve for x
    x = 89,617,362,580.84/307,082.84
  6. Step 6: Final answer
    x = 291,834.49

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