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Finding the Fourth Proportional to 410,820.80, 616,231.20 and 233,673.80

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Solution

The fourth proportional to 410,820.80, 616,231.20 and 233,673.80 is: 350,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,820.80 : 616,231.20 = 233,673.80 : x
  2. Step 2: Convert to fraction form
    410,820.80/616,231.20 = 233,673.80/x
  3. Step 3: Cross multiply
    410,820.80x = 616,231.20 × 233,673.80
  4. Step 4: Simplify right side
    410,820.80x = 143,997,086,182.56
  5. Step 5: Solve for x
    x = 143,997,086,182.56/410,820.80
  6. Step 6: Final answer
    x = 350,510.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.