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Finding the Fourth Proportional to 395,472.92, 592,946.94 and 277,287.44

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Solution

The fourth proportional to 395,472.92, 592,946.94 and 277,287.44 is: 415,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,472.92 : 592,946.94 = 277,287.44 : x
  2. Step 2: Convert to fraction form
    395,472.92/592,946.94 = 277,287.44/x
  3. Step 3: Cross multiply
    395,472.92x = 592,946.94 × 277,287.44
  4. Step 4: Simplify right side
    395,472.92x = 164,416,739,048.43
  5. Step 5: Solve for x
    x = 164,416,739,048.43/395,472.92
  6. Step 6: Final answer
    x = 415,747.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.