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Finding the Fourth Proportional to 411,054.51, 616,161.51 and 233,185.80

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Solution

The fourth proportional to 411,054.51, 616,161.51 and 233,185.80 is: 349,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,054.51 : 616,161.51 = 233,185.80 : x
  2. Step 2: Convert to fraction form
    411,054.51/616,161.51 = 233,185.80/x
  3. Step 3: Cross multiply
    411,054.51x = 616,161.51 × 233,185.80
  4. Step 4: Simplify right side
    411,054.51x = 143,680,114,638.56
  5. Step 5: Solve for x
    x = 143,680,114,638.56/411,054.51
  6. Step 6: Final answer
    x = 349,540.29

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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.