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Finding the Fourth Proportional to 507,046.47, 699,732.42 and 277,599.93

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Solution

The fourth proportional to 507,046.47, 699,732.42 and 277,599.93 is: 383,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,046.47 : 699,732.42 = 277,599.93 : x
  2. Step 2: Convert to fraction form
    507,046.47/699,732.42 = 277,599.93/x
  3. Step 3: Cross multiply
    507,046.47x = 699,732.42 × 277,599.93
  4. Step 4: Simplify right side
    507,046.47x = 194,245,670,810.73
  5. Step 5: Solve for x
    x = 194,245,670,810.73/507,046.47
  6. Step 6: Final answer
    x = 383,092.44

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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.