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Finding the Fourth Proportional to 332,199.40, 497,705.10 and 202,131.40

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Solution

The fourth proportional to 332,199.40, 497,705.10 and 202,131.40 is: 302,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,199.40 : 497,705.10 = 202,131.40 : x
  2. Step 2: Convert to fraction form
    332,199.40/497,705.10 = 202,131.40/x
  3. Step 3: Cross multiply
    332,199.40x = 497,705.10 × 202,131.40
  4. Step 4: Simplify right side
    332,199.40x = 100,601,828,650.14
  5. Step 5: Solve for x
    x = 100,601,828,650.14/332,199.40
  6. Step 6: Final answer
    x = 302,835.67

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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.