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Finding the Fourth Proportional to 298,591.83, 447,884.97 and 121,056.64

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Solution

The fourth proportional to 298,591.83, 447,884.97 and 121,056.64 is: 181,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,591.83 : 447,884.97 = 121,056.64 : x
  2. Step 2: Convert to fraction form
    298,591.83/447,884.97 = 121,056.64/x
  3. Step 3: Cross multiply
    298,591.83x = 447,884.97 × 121,056.64
  4. Step 4: Simplify right side
    298,591.83x = 54,219,448,681.97
  5. Step 5: Solve for x
    x = 54,219,448,681.97/298,591.83
  6. Step 6: Final answer
    x = 181,583.83

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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.