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Finding the Fourth Proportional to 433,222.56, 649,595.92 and 133,620

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Solution

The fourth proportional to 433,222.56, 649,595.92 and 133,620 is: 200,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,222.56 : 649,595.92 = 133,620 : x
  2. Step 2: Convert to fraction form
    433,222.56/649,595.92 = 133,620/x
  3. Step 3: Cross multiply
    433,222.56x = 649,595.92 × 133,620
  4. Step 4: Simplify right side
    433,222.56x = 86,799,006,830.40
  5. Step 5: Solve for x
    x = 86,799,006,830.40/433,222.56
  6. Step 6: Final answer
    x = 200,356.62

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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.