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Finding the Fourth Proportional to 411,394.83, 567,777.45 and 230,116.83

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Solution

The fourth proportional to 411,394.83, 567,777.45 and 230,116.83 is: 317,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,394.83 : 567,777.45 = 230,116.83 : x
  2. Step 2: Convert to fraction form
    411,394.83/567,777.45 = 230,116.83/x
  3. Step 3: Cross multiply
    411,394.83x = 567,777.45 × 230,116.83
  4. Step 4: Simplify right side
    411,394.83x = 130,655,146,939.48
  5. Step 5: Solve for x
    x = 130,655,146,939.48/411,394.83
  6. Step 6: Final answer
    x = 317,590.64

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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.