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Finding the Fourth Proportional to 349,410.31, 523,741.75 and 180,760.82

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Solution

The fourth proportional to 349,410.31, 523,741.75 and 180,760.82 is: 270,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,410.31 : 523,741.75 = 180,760.82 : x
  2. Step 2: Convert to fraction form
    349,410.31/523,741.75 = 180,760.82/x
  3. Step 3: Cross multiply
    349,410.31x = 523,741.75 × 180,760.82
  4. Step 4: Simplify right side
    349,410.31x = 94,671,985,127.62
  5. Step 5: Solve for x
    x = 94,671,985,127.62/349,410.31
  6. Step 6: Final answer
    x = 270,947.89

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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.