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Finding the Fourth Proportional to 511,423.32, 705,773.46 and 285,044.52

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Solution

The fourth proportional to 511,423.32, 705,773.46 and 285,044.52 is: 393,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,423.32 : 705,773.46 = 285,044.52 : x
  2. Step 2: Convert to fraction form
    511,423.32/705,773.46 = 285,044.52/x
  3. Step 3: Cross multiply
    511,423.32x = 705,773.46 × 285,044.52
  4. Step 4: Simplify right side
    511,423.32x = 201,176,857,134.44
  5. Step 5: Solve for x
    x = 201,176,857,134.44/511,423.32
  6. Step 6: Final answer
    x = 393,366.61

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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.