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Finding the Fourth Proportional to 702,702, 1,054,082.16 and 204,066

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Solution

The fourth proportional to 702,702, 1,054,082.16 and 204,066 is: 306,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,702 : 1,054,082.16 = 204,066 : x
  2. Step 2: Convert to fraction form
    702,702/1,054,082.16 = 204,066/x
  3. Step 3: Cross multiply
    702,702x = 1,054,082.16 × 204,066
  4. Step 4: Simplify right side
    702,702x = 215,102,330,062.56
  5. Step 5: Solve for x
    x = 215,102,330,062.56/702,702
  6. Step 6: Final answer
    x = 306,107.47

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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.