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Finding the Fourth Proportional to 274,405.34, 411,607.99 and 180,889.22

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Solution

The fourth proportional to 274,405.34, 411,607.99 and 180,889.22 is: 271,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,405.34 : 411,607.99 = 180,889.22 : x
  2. Step 2: Convert to fraction form
    274,405.34/411,607.99 = 180,889.22/x
  3. Step 3: Cross multiply
    274,405.34x = 411,607.99 × 180,889.22
  4. Step 4: Simplify right side
    274,405.34x = 74,455,448,256.87
  5. Step 5: Solve for x
    x = 74,455,448,256.87/274,405.34
  6. Step 6: Final answer
    x = 271,333.82

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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.