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Finding the Fourth Proportional to 411,800.94, 568,294.92 and 230,508.36

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Solution

The fourth proportional to 411,800.94, 568,294.92 and 230,508.36 is: 318,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,800.94 : 568,294.92 = 230,508.36 : x
  2. Step 2: Convert to fraction form
    411,800.94/568,294.92 = 230,508.36/x
  3. Step 3: Cross multiply
    411,800.94x = 568,294.92 × 230,508.36
  4. Step 4: Simplify right side
    411,800.94x = 130,996,730,005.53
  5. Step 5: Solve for x
    x = 130,996,730,005.53/411,800.94
  6. Step 6: Final answer
    x = 318,106.92

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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.