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Finding the Fourth Proportional to 265,078.53, 397,548 and 180,823.01

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Solution

The fourth proportional to 265,078.53, 397,548 and 180,823.01 is: 271,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,078.53 : 397,548 = 180,823.01 : x
  2. Step 2: Convert to fraction form
    265,078.53/397,548 = 180,823.01/x
  3. Step 3: Cross multiply
    265,078.53x = 397,548 × 180,823.01
  4. Step 4: Simplify right side
    265,078.53x = 71,885,823,991.74
  5. Step 5: Solve for x
    x = 71,885,823,991.74/265,078.53
  6. Step 6: Final answer
    x = 271,186.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.