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Finding the Fourth Proportional to 429,398.91, 644,098.37 and 163,096.43

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Solution

The fourth proportional to 429,398.91, 644,098.37 and 163,096.43 is: 244,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,398.91 : 644,098.37 = 163,096.43 : x
  2. Step 2: Convert to fraction form
    429,398.91/644,098.37 = 163,096.43/x
  3. Step 3: Cross multiply
    429,398.91x = 644,098.37 × 163,096.43
  4. Step 4: Simplify right side
    429,398.91x = 105,050,140,679.85
  5. Step 5: Solve for x
    x = 105,050,140,679.85/429,398.91
  6. Step 6: Final answer
    x = 244,644.64

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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.