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Finding the Fourth Proportional to 349,342.81, 523,640.43 and 180,693.32

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Solution

The fourth proportional to 349,342.81, 523,640.43 and 180,693.32 is: 270,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,342.81 : 523,640.43 = 180,693.32 : x
  2. Step 2: Convert to fraction form
    349,342.81/523,640.43 = 180,693.32/x
  3. Step 3: Cross multiply
    349,342.81x = 523,640.43 × 180,693.32
  4. Step 4: Simplify right side
    349,342.81x = 94,618,325,164.73
  5. Step 5: Solve for x
    x = 94,618,325,164.73/349,342.81
  6. Step 6: Final answer
    x = 270,846.64

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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.