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Finding the Fourth Proportional to 275,731.52, 380,412.60 and 180,294.08

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Solution

The fourth proportional to 275,731.52, 380,412.60 and 180,294.08 is: 248,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,731.52 : 380,412.60 = 180,294.08 : x
  2. Step 2: Convert to fraction form
    275,731.52/380,412.60 = 180,294.08/x
  3. Step 3: Cross multiply
    275,731.52x = 380,412.60 × 180,294.08
  4. Step 4: Simplify right side
    275,731.52x = 68,586,139,737.41
  5. Step 5: Solve for x
    x = 68,586,139,737.41/275,731.52
  6. Step 6: Final answer
    x = 248,742.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.