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Finding the Fourth Proportional to 299,495.66, 413,255.21 and 176,970.96

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Solution

The fourth proportional to 299,495.66, 413,255.21 and 176,970.96 is: 244,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,495.66 : 413,255.21 = 176,970.96 : x
  2. Step 2: Convert to fraction form
    299,495.66/413,255.21 = 176,970.96/x
  3. Step 3: Cross multiply
    299,495.66x = 413,255.21 × 176,970.96
  4. Step 4: Simplify right side
    299,495.66x = 73,134,170,353.85
  5. Step 5: Solve for x
    x = 73,134,170,353.85/299,495.66
  6. Step 6: Final answer
    x = 244,191.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.