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Finding the Fourth Proportional to 432,559.84, 649,072.14 and 180,014.44

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Solution

The fourth proportional to 432,559.84, 649,072.14 and 180,014.44 is: 270,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,559.84 : 649,072.14 = 180,014.44 : x
  2. Step 2: Convert to fraction form
    432,559.84/649,072.14 = 180,014.44/x
  3. Step 3: Cross multiply
    432,559.84x = 649,072.14 × 180,014.44
  4. Step 4: Simplify right side
    432,559.84x = 116,842,355,503.97
  5. Step 5: Solve for x
    x = 116,842,355,503.97/432,559.84
  6. Step 6: Final answer
    x = 270,118.36

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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.