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Finding the Fourth Proportional to 411,693.63, 568,162.25 and 230,401.86

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Solution

The fourth proportional to 411,693.63, 568,162.25 and 230,401.86 is: 317,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,693.63 : 568,162.25 = 230,401.86 : x
  2. Step 2: Convert to fraction form
    411,693.63/568,162.25 = 230,401.86/x
  3. Step 3: Cross multiply
    411,693.63x = 568,162.25 × 230,401.86
  4. Step 4: Simplify right side
    411,693.63x = 130,905,639,181.79
  5. Step 5: Solve for x
    x = 130,905,639,181.79/411,693.63
  6. Step 6: Final answer
    x = 317,968.58

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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.