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Finding the Fourth Proportional to 411,388.83, 567,769.16 and 230,110.83

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Solution

The fourth proportional to 411,388.83, 567,769.16 and 230,110.83 is: 317,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,388.83 : 567,769.16 = 230,110.83 : x
  2. Step 2: Convert to fraction form
    411,388.83/567,769.16 = 230,110.83/x
  3. Step 3: Cross multiply
    411,388.83x = 567,769.16 × 230,110.83
  4. Step 4: Simplify right side
    411,388.83x = 130,649,833,231.28
  5. Step 5: Solve for x
    x = 130,649,833,231.28/411,388.83
  6. Step 6: Final answer
    x = 317,582.35

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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.