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Finding the Fourth Proportional to 506,791.59, 699,342.24 and 277,303.09

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Solution

The fourth proportional to 506,791.59, 699,342.24 and 277,303.09 is: 382,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,791.59 : 699,342.24 = 277,303.09 : x
  2. Step 2: Convert to fraction form
    506,791.59/699,342.24 = 277,303.09/x
  3. Step 3: Cross multiply
    506,791.59x = 699,342.24 × 277,303.09
  4. Step 4: Simplify right side
    506,791.59x = 193,929,764,119.52
  5. Step 5: Solve for x
    x = 193,929,764,119.52/506,791.59
  6. Step 6: Final answer
    x = 382,661.77

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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.