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Finding the Fourth Proportional to 429,469.34, 644,180.31 and 176,685.85

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Solution

The fourth proportional to 429,469.34, 644,180.31 and 176,685.85 is: 265,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,469.34 : 644,180.31 = 176,685.85 : x
  2. Step 2: Convert to fraction form
    429,469.34/644,180.31 = 176,685.85/x
  3. Step 3: Cross multiply
    429,469.34x = 644,180.31 × 176,685.85
  4. Step 4: Simplify right side
    429,469.34x = 113,817,546,430.84
  5. Step 5: Solve for x
    x = 113,817,546,430.84/429,469.34
  6. Step 6: Final answer
    x = 265,019.03

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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.