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Finding the Fourth Proportional to 341,082.17, 511,622.89 and 116,423.96

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Solution

The fourth proportional to 341,082.17, 511,622.89 and 116,423.96 is: 174,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,082.17 : 511,622.89 = 116,423.96 : x
  2. Step 2: Convert to fraction form
    341,082.17/511,622.89 = 116,423.96/x
  3. Step 3: Cross multiply
    341,082.17x = 511,622.89 × 116,423.96
  4. Step 4: Simplify right side
    341,082.17x = 59,565,162,880.44
  5. Step 5: Solve for x
    x = 59,565,162,880.44/341,082.17
  6. Step 6: Final answer
    x = 174,635.82

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Why These Related Problems?

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