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Finding the Fourth Proportional to 446,968.18, 616,838.25 and 277,256.98

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Solution

The fourth proportional to 446,968.18, 616,838.25 and 277,256.98 is: 382,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,968.18 : 616,838.25 = 277,256.98 : x
  2. Step 2: Convert to fraction form
    446,968.18/616,838.25 = 277,256.98/x
  3. Step 3: Cross multiply
    446,968.18x = 616,838.25 × 277,256.98
  4. Step 4: Simplify right side
    446,968.18x = 171,022,710,343.49
  5. Step 5: Solve for x
    x = 171,022,710,343.49/446,968.18
  6. Step 6: Final answer
    x = 382,628.38

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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.