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Finding the Fourth Proportional to 510,446.72, 765,670.08 and 136,460

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Solution

The fourth proportional to 510,446.72, 765,670.08 and 136,460 is: 204,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,446.72 : 765,670.08 = 136,460 : x
  2. Step 2: Convert to fraction form
    510,446.72/765,670.08 = 136,460/x
  3. Step 3: Cross multiply
    510,446.72x = 765,670.08 × 136,460
  4. Step 4: Simplify right side
    510,446.72x = 104,483,339,116.80
  5. Step 5: Solve for x
    x = 104,483,339,116.80/510,446.72
  6. Step 6: Final answer
    x = 204,690

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.