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Finding the Fourth Proportional to 411,628.28, 568,077.54 and 230,358.38

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Solution

The fourth proportional to 411,628.28, 568,077.54 and 230,358.38 is: 317,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,628.28 : 568,077.54 = 230,358.38 : x
  2. Step 2: Convert to fraction form
    411,628.28/568,077.54 = 230,358.38/x
  3. Step 3: Cross multiply
    411,628.28x = 568,077.54 × 230,358.38
  4. Step 4: Simplify right side
    411,628.28x = 130,861,421,828.79
  5. Step 5: Solve for x
    x = 130,861,421,828.79/411,628.28
  6. Step 6: Final answer
    x = 317,911.64

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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.