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Finding the Fourth Proportional to 349,527.98, 523,164.27 and 180,815.98

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Solution

The fourth proportional to 349,527.98, 523,164.27 and 180,815.98 is: 270,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,527.98 : 523,164.27 = 180,815.98 : x
  2. Step 2: Convert to fraction form
    349,527.98/523,164.27 = 180,815.98/x
  3. Step 3: Cross multiply
    349,527.98x = 523,164.27 × 180,815.98
  4. Step 4: Simplify right side
    349,527.98x = 94,596,460,181.03
  5. Step 5: Solve for x
    x = 94,596,460,181.03/349,527.98
  6. Step 6: Final answer
    x = 270,640.59

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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.