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Finding the Fourth Proportional to 510,037, 765,050.92 and 190,178

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Solution

The fourth proportional to 510,037, 765,050.92 and 190,178 is: 285,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,037 : 765,050.92 = 190,178 : x
  2. Step 2: Convert to fraction form
    510,037/765,050.92 = 190,178/x
  3. Step 3: Cross multiply
    510,037x = 765,050.92 × 190,178
  4. Step 4: Simplify right side
    510,037x = 145,495,853,863.76
  5. Step 5: Solve for x
    x = 145,495,853,863.76/510,037
  6. Step 6: Final answer
    x = 285,265.29

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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.