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Finding the Fourth Proportional to 531,222.49, 733,003.18 and 298,603.54

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Solution

The fourth proportional to 531,222.49, 733,003.18 and 298,603.54 is: 412,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,222.49 : 733,003.18 = 298,603.54 : x
  2. Step 2: Convert to fraction form
    531,222.49/733,003.18 = 298,603.54/x
  3. Step 3: Cross multiply
    531,222.49x = 733,003.18 × 298,603.54
  4. Step 4: Simplify right side
    531,222.49x = 218,877,344,379.26
  5. Step 5: Solve for x
    x = 218,877,344,379.26/531,222.49
  6. Step 6: Final answer
    x = 412,025.75

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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.