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Finding the Fourth Proportional to 332,001.40, 497,408.10 and 201,933.40

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Solution

The fourth proportional to 332,001.40, 497,408.10 and 201,933.40 is: 302,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,001.40 : 497,408.10 = 201,933.40 : x
  2. Step 2: Convert to fraction form
    332,001.40/497,408.10 = 201,933.40/x
  3. Step 3: Cross multiply
    332,001.40x = 497,408.10 × 201,933.40
  4. Step 4: Simplify right side
    332,001.40x = 100,443,308,820.54
  5. Step 5: Solve for x
    x = 100,443,308,820.54/332,001.40
  6. Step 6: Final answer
    x = 302,538.81

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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.