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Finding the Fourth Proportional to 605,066, 908,013.72 and 211,082

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Solution

The fourth proportional to 605,066, 908,013.72 and 211,082 is: 316,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,066 : 908,013.72 = 211,082 : x
  2. Step 2: Convert to fraction form
    605,066/908,013.72 = 211,082/x
  3. Step 3: Cross multiply
    605,066x = 908,013.72 × 211,082
  4. Step 4: Simplify right side
    605,066x = 191,665,352,045.04
  5. Step 5: Solve for x
    x = 191,665,352,045.04/605,066
  6. Step 6: Final answer
    x = 316,767.68

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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.