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Finding the Fourth Proportional to 432,716.87, 649,103 and 166,477.41

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Solution

The fourth proportional to 432,716.87, 649,103 and 166,477.41 is: 249,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,716.87 : 649,103 = 166,477.41 : x
  2. Step 2: Convert to fraction form
    432,716.87/649,103 = 166,477.41/x
  3. Step 3: Cross multiply
    432,716.87x = 649,103 × 166,477.41
  4. Step 4: Simplify right side
    432,716.87x = 108,060,986,263.23
  5. Step 5: Solve for x
    x = 108,060,986,263.23/432,716.87
  6. Step 6: Final answer
    x = 249,726.77

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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.