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Finding the Fourth Proportional to 433,063.88, 649,683.42 and 180,363.40

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Solution

The fourth proportional to 433,063.88, 649,683.42 and 180,363.40 is: 270,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,063.88 : 649,683.42 = 180,363.40 : x
  2. Step 2: Convert to fraction form
    433,063.88/649,683.42 = 180,363.40/x
  3. Step 3: Cross multiply
    433,063.88x = 649,683.42 × 180,363.40
  4. Step 4: Simplify right side
    433,063.88x = 117,179,110,554.83
  5. Step 5: Solve for x
    x = 117,179,110,554.83/433,063.88
  6. Step 6: Final answer
    x = 270,581.58

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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.