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Finding the Fourth Proportional to 411,709.98, 568,159.69 and 230,421.90

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Solution

The fourth proportional to 411,709.98, 568,159.69 and 230,421.90 is: 317,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,709.98 : 568,159.69 = 230,421.90 : x
  2. Step 2: Convert to fraction form
    411,709.98/568,159.69 = 230,421.90/x
  3. Step 3: Cross multiply
    411,709.98x = 568,159.69 × 230,421.90
  4. Step 4: Simplify right side
    411,709.98x = 130,916,435,273.21
  5. Step 5: Solve for x
    x = 130,916,435,273.21/411,709.98
  6. Step 6: Final answer
    x = 317,982.18

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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.