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Finding the Fourth Proportional to 433,522.76, 650,401.02 and 180,719.24

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Solution

The fourth proportional to 433,522.76, 650,401.02 and 180,719.24 is: 271,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,522.76 : 650,401.02 = 180,719.24 : x
  2. Step 2: Convert to fraction form
    433,522.76/650,401.02 = 180,719.24/x
  3. Step 3: Cross multiply
    433,522.76x = 650,401.02 × 180,719.24
  4. Step 4: Simplify right side
    433,522.76x = 117,539,978,029.63
  5. Step 5: Solve for x
    x = 117,539,978,029.63/433,522.76
  6. Step 6: Final answer
    x = 271,127.58

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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.