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Finding the Fourth Proportional to 332,875.20, 499,021.20 and 199,808.40

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Solution

The fourth proportional to 332,875.20, 499,021.20 and 199,808.40 is: 299,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,875.20 : 499,021.20 = 199,808.40 : x
  2. Step 2: Convert to fraction form
    332,875.20/499,021.20 = 199,808.40/x
  3. Step 3: Cross multiply
    332,875.20x = 499,021.20 × 199,808.40
  4. Step 4: Simplify right side
    332,875.20x = 99,708,627,538.08
  5. Step 5: Solve for x
    x = 99,708,627,538.08/332,875.20
  6. Step 6: Final answer
    x = 299,537.57

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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.