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Finding the Fourth Proportional to 298,884.59, 448,423.81 and 178,922.86

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Solution

The fourth proportional to 298,884.59, 448,423.81 and 178,922.86 is: 268,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,884.59 : 448,423.81 = 178,922.86 : x
  2. Step 2: Convert to fraction form
    298,884.59/448,423.81 = 178,922.86/x
  3. Step 3: Cross multiply
    298,884.59x = 448,423.81 × 178,922.86
  4. Step 4: Simplify right side
    298,884.59x = 80,233,270,577.30
  5. Step 5: Solve for x
    x = 80,233,270,577.30/298,884.59
  6. Step 6: Final answer
    x = 268,442.31

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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.