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Finding the Fourth Proportional to 654,231.06, 902,843.85 and 363,846.69

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Solution

The fourth proportional to 654,231.06, 902,843.85 and 363,846.69 is: 502,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,231.06 : 902,843.85 = 363,846.69 : x
  2. Step 2: Convert to fraction form
    654,231.06/902,843.85 = 363,846.69/x
  3. Step 3: Cross multiply
    654,231.06x = 902,843.85 × 363,846.69
  4. Step 4: Simplify right side
    654,231.06x = 328,496,746,409.36
  5. Step 5: Solve for x
    x = 328,496,746,409.36/654,231.06
  6. Step 6: Final answer
    x = 502,111.21

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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.