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Finding the Fourth Proportional to 497,996.28, 746,994 and 182,477.88

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Solution

The fourth proportional to 497,996.28, 746,994 and 182,477.88 is: 273,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,996.28 : 746,994 = 182,477.88 : x
  2. Step 2: Convert to fraction form
    497,996.28/746,994 = 182,477.88/x
  3. Step 3: Cross multiply
    497,996.28x = 746,994 × 182,477.88
  4. Step 4: Simplify right side
    497,996.28x = 136,309,881,492.72
  5. Step 5: Solve for x
    x = 136,309,881,492.72/497,996.28
  6. Step 6: Final answer
    x = 273,716.67

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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.