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Finding the Fourth Proportional to 349,344.71, 523,643.33 and 180,695.24

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Solution

The fourth proportional to 349,344.71, 523,643.33 and 180,695.24 is: 270,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,344.71 : 523,643.33 = 180,695.24 : x
  2. Step 2: Convert to fraction form
    349,344.71/523,643.33 = 180,695.24/x
  3. Step 3: Cross multiply
    349,344.71x = 523,643.33 × 180,695.24
  4. Step 4: Simplify right side
    349,344.71x = 94,619,853,667.06
  5. Step 5: Solve for x
    x = 94,619,853,667.06/349,344.71
  6. Step 6: Final answer
    x = 270,849.54

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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.