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Finding the Fourth Proportional to 483,243.80, 725,114.43 and 199,144.26

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Solution

The fourth proportional to 483,243.80, 725,114.43 and 199,144.26 is: 298,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,243.80 : 725,114.43 = 199,144.26 : x
  2. Step 2: Convert to fraction form
    483,243.80/725,114.43 = 199,144.26/x
  3. Step 3: Cross multiply
    483,243.80x = 725,114.43 × 199,144.26
  4. Step 4: Simplify right side
    483,243.80x = 144,402,376,577.67
  5. Step 5: Solve for x
    x = 144,402,376,577.67/483,243.80
  6. Step 6: Final answer
    x = 298,818.89

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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.