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Finding the Fourth Proportional to 429,336.30, 644,324.40 and 163,615.80

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Solution

The fourth proportional to 429,336.30, 644,324.40 and 163,615.80 is: 245,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,336.30 : 644,324.40 = 163,615.80 : x
  2. Step 2: Convert to fraction form
    429,336.30/644,324.40 = 163,615.80/x
  3. Step 3: Cross multiply
    429,336.30x = 644,324.40 × 163,615.80
  4. Step 4: Simplify right side
    429,336.30x = 105,421,652,165.52
  5. Step 5: Solve for x
    x = 105,421,652,165.52/429,336.30
  6. Step 6: Final answer
    x = 245,545.63

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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.