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Finding the Fourth Proportional to 510,607, 766,260.42 and 178,183

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Solution

The fourth proportional to 510,607, 766,260.42 and 178,183 is: 267,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,607 : 766,260.42 = 178,183 : x
  2. Step 2: Convert to fraction form
    510,607/766,260.42 = 178,183/x
  3. Step 3: Cross multiply
    510,607x = 766,260.42 × 178,183
  4. Step 4: Simplify right side
    510,607x = 136,534,580,416.86
  5. Step 5: Solve for x
    x = 136,534,580,416.86/510,607
  6. Step 6: Final answer
    x = 267,396.61

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Why These Related Problems?

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