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Finding the Fourth Proportional to 429,414.30, 644,441.40 and 163,693.80

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Solution

The fourth proportional to 429,414.30, 644,441.40 and 163,693.80 is: 245,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,414.30 : 644,441.40 = 163,693.80 : x
  2. Step 2: Convert to fraction form
    429,414.30/644,441.40 = 163,693.80/x
  3. Step 3: Cross multiply
    429,414.30x = 644,441.40 × 163,693.80
  4. Step 4: Simplify right side
    429,414.30x = 105,491,061,643.32
  5. Step 5: Solve for x
    x = 105,491,061,643.32/429,414.30
  6. Step 6: Final answer
    x = 245,662.67

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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.