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Finding the Fourth Proportional to 411,394.84, 567,777.46 and 230,116.84

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Solution

The fourth proportional to 411,394.84, 567,777.46 and 230,116.84 is: 317,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,394.84 : 567,777.46 = 230,116.84 : x
  2. Step 2: Convert to fraction form
    411,394.84/567,777.46 = 230,116.84/x
  3. Step 3: Cross multiply
    411,394.84x = 567,777.46 × 230,116.84
  4. Step 4: Simplify right side
    411,394.84x = 130,655,154,918.43
  5. Step 5: Solve for x
    x = 130,655,154,918.43/411,394.84
  6. Step 6: Final answer
    x = 317,590.65

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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.