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Finding the Fourth Proportional to 407,723.20, 610,375.20 and 303,006.40

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Solution

The fourth proportional to 407,723.20, 610,375.20 and 303,006.40 is: 453,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,723.20 : 610,375.20 = 303,006.40 : x
  2. Step 2: Convert to fraction form
    407,723.20/610,375.20 = 303,006.40/x
  3. Step 3: Cross multiply
    407,723.20x = 610,375.20 × 303,006.40
  4. Step 4: Simplify right side
    407,723.20x = 184,947,592,001.28
  5. Step 5: Solve for x
    x = 184,947,592,001.28/407,723.20
  6. Step 6: Final answer
    x = 453,610.67

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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.