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Finding the Fourth Proportional to 599,328.16, 827,058 and 344,673.44

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Solution

The fourth proportional to 599,328.16, 827,058 and 344,673.44 is: 475,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,328.16 : 827,058 = 344,673.44 : x
  2. Step 2: Convert to fraction form
    599,328.16/827,058 = 344,673.44/x
  3. Step 3: Cross multiply
    599,328.16x = 827,058 × 344,673.44
  4. Step 4: Simplify right side
    599,328.16x = 285,064,925,939.52
  5. Step 5: Solve for x
    x = 285,064,925,939.52/599,328.16
  6. Step 6: Final answer
    x = 475,640.80

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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.