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Finding the Fourth Proportional to 407,645.80, 608,723.69 and 332,914.30

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Solution

The fourth proportional to 407,645.80, 608,723.69 and 332,914.30 is: 497,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,645.80 : 608,723.69 = 332,914.30 : x
  2. Step 2: Convert to fraction form
    407,645.80/608,723.69 = 332,914.30/x
  3. Step 3: Cross multiply
    407,645.80x = 608,723.69 × 332,914.30
  4. Step 4: Simplify right side
    407,645.80x = 202,652,821,149.77
  5. Step 5: Solve for x
    x = 202,652,821,149.77/407,645.80
  6. Step 6: Final answer
    x = 497,129.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.