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Finding the Fourth Proportional to 511,414.32, 705,761.04 and 285,035.52

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Solution

The fourth proportional to 511,414.32, 705,761.04 and 285,035.52 is: 393,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,414.32 : 705,761.04 = 285,035.52 : x
  2. Step 2: Convert to fraction form
    511,414.32/705,761.04 = 285,035.52/x
  3. Step 3: Cross multiply
    511,414.32x = 705,761.04 × 285,035.52
  4. Step 4: Simplify right side
    511,414.32x = 201,166,965,032.14
  5. Step 5: Solve for x
    x = 201,166,965,032.14/511,414.32
  6. Step 6: Final answer
    x = 393,354.19

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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.