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Finding the Fourth Proportional to 298,978.40, 448,467.60 and 193,224.80

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Solution

The fourth proportional to 298,978.40, 448,467.60 and 193,224.80 is: 289,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,978.40 : 448,467.60 = 193,224.80 : x
  2. Step 2: Convert to fraction form
    298,978.40/448,467.60 = 193,224.80/x
  3. Step 3: Cross multiply
    298,978.40x = 448,467.60 × 193,224.80
  4. Step 4: Simplify right side
    298,978.40x = 86,655,062,316.48
  5. Step 5: Solve for x
    x = 86,655,062,316.48/298,978.40
  6. Step 6: Final answer
    x = 289,837.20

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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.