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Finding the Fourth Proportional to 532,825.56, 799,247.16 and 177,841.44

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Solution

The fourth proportional to 532,825.56, 799,247.16 and 177,841.44 is: 266,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,825.56 : 799,247.16 = 177,841.44 : x
  2. Step 2: Convert to fraction form
    532,825.56/799,247.16 = 177,841.44/x
  3. Step 3: Cross multiply
    532,825.56x = 799,247.16 × 177,841.44
  4. Step 4: Simplify right side
    532,825.56x = 142,139,265,850.31
  5. Step 5: Solve for x
    x = 142,139,265,850.31/532,825.56
  6. Step 6: Final answer
    x = 266,765.10

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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.