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Finding the Fourth Proportional to 411,119.66, 567,349.34 and 229,841.66

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Solution

The fourth proportional to 411,119.66, 567,349.34 and 229,841.66 is: 317,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,119.66 : 567,349.34 = 229,841.66 : x
  2. Step 2: Convert to fraction form
    411,119.66/567,349.34 = 229,841.66/x
  3. Step 3: Cross multiply
    411,119.66x = 567,349.34 × 229,841.66
  4. Step 4: Simplify right side
    411,119.66x = 130,400,514,105.50
  5. Step 5: Solve for x
    x = 130,400,514,105.50/411,119.66
  6. Step 6: Final answer
    x = 317,183.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.