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Finding the Fourth Proportional to 511,748.28, 767,709.90 and 174,770.46

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Solution

The fourth proportional to 511,748.28, 767,709.90 and 174,770.46 is: 262,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,748.28 : 767,709.90 = 174,770.46 : x
  2. Step 2: Convert to fraction form
    511,748.28/767,709.90 = 174,770.46/x
  3. Step 3: Cross multiply
    511,748.28x = 767,709.90 × 174,770.46
  4. Step 4: Simplify right side
    511,748.28x = 134,173,012,369.55
  5. Step 5: Solve for x
    x = 134,173,012,369.55/511,748.28
  6. Step 6: Final answer
    x = 262,185.57

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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.