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Finding the Fourth Proportional to 433,089.84, 649,671 and 113,241.09

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Solution

The fourth proportional to 433,089.84, 649,671 and 113,241.09 is: 169,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,089.84 : 649,671 = 113,241.09 : x
  2. Step 2: Convert to fraction form
    433,089.84/649,671 = 113,241.09/x
  3. Step 3: Cross multiply
    433,089.84x = 649,671 × 113,241.09
  4. Step 4: Simplify right side
    433,089.84x = 73,569,452,181.39
  5. Step 5: Solve for x
    x = 73,569,452,181.39/433,089.84
  6. Step 6: Final answer
    x = 169,871.11

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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.