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Finding the Fourth Proportional to 284,082.28, 426,313.50 and 117,870.28

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Solution

The fourth proportional to 284,082.28, 426,313.50 and 117,870.28 is: 176,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,082.28 : 426,313.50 = 117,870.28 : x
  2. Step 2: Convert to fraction form
    284,082.28/426,313.50 = 117,870.28/x
  3. Step 3: Cross multiply
    284,082.28x = 426,313.50 × 117,870.28
  4. Step 4: Simplify right side
    284,082.28x = 50,249,691,612.78
  5. Step 5: Solve for x
    x = 50,249,691,612.78/284,082.28
  6. Step 6: Final answer
    x = 176,884.29

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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.