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Finding the Fourth Proportional to 511,082.29, 705,298.22 and 281,647.81

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Solution

The fourth proportional to 511,082.29, 705,298.22 and 281,647.81 is: 388,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,082.29 : 705,298.22 = 281,647.81 : x
  2. Step 2: Convert to fraction form
    511,082.29/705,298.22 = 281,647.81/x
  3. Step 3: Cross multiply
    511,082.29x = 705,298.22 × 281,647.81
  4. Step 4: Simplify right side
    511,082.29x = 198,645,699,059.90
  5. Step 5: Solve for x
    x = 198,645,699,059.90/511,082.29
  6. Step 6: Final answer
    x = 388,676.55

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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.