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Finding the Fourth Proportional to 284,082.96, 392,176.38 and 176,687.64

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Solution

The fourth proportional to 284,082.96, 392,176.38 and 176,687.64 is: 243,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,082.96 : 392,176.38 = 176,687.64 : x
  2. Step 2: Convert to fraction form
    284,082.96/392,176.38 = 176,687.64/x
  3. Step 3: Cross multiply
    284,082.96x = 392,176.38 × 176,687.64
  4. Step 4: Simplify right side
    284,082.96x = 69,292,719,045.94
  5. Step 5: Solve for x
    x = 69,292,719,045.94/284,082.96
  6. Step 6: Final answer
    x = 243,917.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.