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Finding the Fourth Proportional to 269,421.80, 404,132.70 and 202,499.60

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Solution

The fourth proportional to 269,421.80, 404,132.70 and 202,499.60 is: 303,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,421.80 : 404,132.70 = 202,499.60 : x
  2. Step 2: Convert to fraction form
    269,421.80/404,132.70 = 202,499.60/x
  3. Step 3: Cross multiply
    269,421.80x = 404,132.70 × 202,499.60
  4. Step 4: Simplify right side
    269,421.80x = 81,836,710,096.92
  5. Step 5: Solve for x
    x = 81,836,710,096.92/269,421.80
  6. Step 6: Final answer
    x = 303,749.40

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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.