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Finding the Fourth Proportional to 411,701.64, 568,173.30 and 230,409.87

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Solution

The fourth proportional to 411,701.64, 568,173.30 and 230,409.87 is: 317,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,701.64 : 568,173.30 = 230,409.87 : x
  2. Step 2: Convert to fraction form
    411,701.64/568,173.30 = 230,409.87/x
  3. Step 3: Cross multiply
    411,701.64x = 568,173.30 × 230,409.87
  4. Step 4: Simplify right side
    411,701.64x = 130,912,736,190.47
  5. Step 5: Solve for x
    x = 130,912,736,190.47/411,701.64
  6. Step 6: Final answer
    x = 317,979.63

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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.