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Finding the Fourth Proportional to 511,493.16, 705,834.90 and 285,094.92

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Solution

The fourth proportional to 511,493.16, 705,834.90 and 285,094.92 is: 393,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,493.16 : 705,834.90 = 285,094.92 : x
  2. Step 2: Convert to fraction form
    511,493.16/705,834.90 = 285,094.92/x
  3. Step 3: Cross multiply
    511,493.16x = 705,834.90 × 285,094.92
  4. Step 4: Simplify right side
    511,493.16x = 201,229,944,348.71
  5. Step 5: Solve for x
    x = 201,229,944,348.71/511,493.16
  6. Step 6: Final answer
    x = 393,416.69

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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.