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Finding the Fourth Proportional to 489,473.57, 733,256.27 and 275,587.70

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Solution

The fourth proportional to 489,473.57, 733,256.27 and 275,587.70 is: 412,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,473.57 : 733,256.27 = 275,587.70 : x
  2. Step 2: Convert to fraction form
    489,473.57/733,256.27 = 275,587.70/x
  3. Step 3: Cross multiply
    489,473.57x = 733,256.27 × 275,587.70
  4. Step 4: Simplify right side
    489,473.57x = 202,076,407,698.82
  5. Step 5: Solve for x
    x = 202,076,407,698.82/489,473.57
  6. Step 6: Final answer
    x = 412,844.37

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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.