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Finding the Fourth Proportional to 349,215.99, 523,385.73 and 149,301.41

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Solution

The fourth proportional to 349,215.99, 523,385.73 and 149,301.41 is: 223,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,215.99 : 523,385.73 = 149,301.41 : x
  2. Step 2: Convert to fraction form
    349,215.99/523,385.73 = 149,301.41/x
  3. Step 3: Cross multiply
    349,215.99x = 523,385.73 × 149,301.41
  4. Step 4: Simplify right side
    349,215.99x = 78,142,224,845.95
  5. Step 5: Solve for x
    x = 78,142,224,845.95/349,215.99
  6. Step 6: Final answer
    x = 223,764.74

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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.