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Finding the Fourth Proportional to 429,942.80, 644,453.40 and 163,600.40

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Solution

The fourth proportional to 429,942.80, 644,453.40 and 163,600.40 is: 245,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,942.80 : 644,453.40 = 163,600.40 : x
  2. Step 2: Convert to fraction form
    429,942.80/644,453.40 = 163,600.40/x
  3. Step 3: Cross multiply
    429,942.80x = 644,453.40 × 163,600.40
  4. Step 4: Simplify right side
    429,942.80x = 105,432,834,021.36
  5. Step 5: Solve for x
    x = 105,432,834,021.36/429,942.80
  6. Step 6: Final answer
    x = 245,225.26

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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.