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Finding the Fourth Proportional to 511,431.32, 705,784.62 and 285,052.52

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Solution

The fourth proportional to 511,431.32, 705,784.62 and 285,052.52 is: 393,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,431.32 : 705,784.62 = 285,052.52 : x
  2. Step 2: Convert to fraction form
    511,431.32/705,784.62 = 285,052.52/x
  3. Step 3: Cross multiply
    511,431.32x = 705,784.62 × 285,052.52
  4. Step 4: Simplify right side
    511,431.32x = 201,185,684,508.24
  5. Step 5: Solve for x
    x = 201,185,684,508.24/511,431.32
  6. Step 6: Final answer
    x = 393,377.72

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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.