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Finding the Fourth Proportional to 411,623.28, 568,070.64 and 230,353.38

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Solution

The fourth proportional to 411,623.28, 568,070.64 and 230,353.38 is: 317,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,623.28 : 568,070.64 = 230,353.38 : x
  2. Step 2: Convert to fraction form
    411,623.28/568,070.64 = 230,353.38/x
  3. Step 3: Cross multiply
    411,623.28x = 568,070.64 × 230,353.38
  4. Step 4: Simplify right side
    411,623.28x = 130,856,992,002.76
  5. Step 5: Solve for x
    x = 130,856,992,002.76/411,623.28
  6. Step 6: Final answer
    x = 317,904.74

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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.