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Finding the Fourth Proportional to 498,273.50, 747,410.26 and 161,595.78

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Solution

The fourth proportional to 498,273.50, 747,410.26 and 161,595.78 is: 242,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,273.50 : 747,410.26 = 161,595.78 : x
  2. Step 2: Convert to fraction form
    498,273.50/747,410.26 = 161,595.78/x
  3. Step 3: Cross multiply
    498,273.50x = 747,410.26 × 161,595.78
  4. Step 4: Simplify right side
    498,273.50x = 120,778,343,944.70
  5. Step 5: Solve for x
    x = 120,778,343,944.70/498,273.50
  6. Step 6: Final answer
    x = 242,393.67

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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.