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Finding the Fourth Proportional to 349,311.73, 523,967.53 and 149,502.55

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Solution

The fourth proportional to 349,311.73, 523,967.53 and 149,502.55 is: 224,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,311.73 : 523,967.53 = 149,502.55 : x
  2. Step 2: Convert to fraction form
    349,311.73/523,967.53 = 149,502.55/x
  3. Step 3: Cross multiply
    349,311.73x = 523,967.53 × 149,502.55
  4. Step 4: Simplify right side
    349,311.73x = 78,334,481,852.20
  5. Step 5: Solve for x
    x = 78,334,481,852.20/349,311.73
  6. Step 6: Final answer
    x = 224,253.80

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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.