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Finding the Fourth Proportional to 510,432.59, 765,590.56 and 136,484.75

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Solution

The fourth proportional to 510,432.59, 765,590.56 and 136,484.75 is: 204,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,432.59 : 765,590.56 = 136,484.75 : x
  2. Step 2: Convert to fraction form
    510,432.59/765,590.56 = 136,484.75/x
  3. Step 3: Cross multiply
    510,432.59x = 765,590.56 × 136,484.75
  4. Step 4: Simplify right side
    510,432.59x = 104,491,436,371.23
  5. Step 5: Solve for x
    x = 104,491,436,371.23/510,432.59
  6. Step 6: Final answer
    x = 204,711.53

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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.