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Finding the Fourth Proportional to 298,532.68, 411,979.03 and 169,461.40

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Solution

The fourth proportional to 298,532.68, 411,979.03 and 169,461.40 is: 233,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,532.68 : 411,979.03 = 169,461.40 : x
  2. Step 2: Convert to fraction form
    298,532.68/411,979.03 = 169,461.40/x
  3. Step 3: Cross multiply
    298,532.68x = 411,979.03 × 169,461.40
  4. Step 4: Simplify right side
    298,532.68x = 69,814,544,608.79
  5. Step 5: Solve for x
    x = 69,814,544,608.79/298,532.68
  6. Step 6: Final answer
    x = 233,858.97

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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.