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Finding the Fourth Proportional to 411,648.60, 568,101.42 and 230,381.40

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Solution

The fourth proportional to 411,648.60, 568,101.42 and 230,381.40 is: 317,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,648.60 : 568,101.42 = 230,381.40 : x
  2. Step 2: Convert to fraction form
    411,648.60/568,101.42 = 230,381.40/x
  3. Step 3: Cross multiply
    411,648.60x = 568,101.42 × 230,381.40
  4. Step 4: Simplify right side
    411,648.60x = 130,880,000,481.59
  5. Step 5: Solve for x
    x = 130,880,000,481.59/411,648.60
  6. Step 6: Final answer
    x = 317,941.08

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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.