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Finding the Fourth Proportional to 410,821.20, 616,318.20 and 233,182.80

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Solution

The fourth proportional to 410,821.20, 616,318.20 and 233,182.80 is: 349,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,821.20 : 616,318.20 = 233,182.80 : x
  2. Step 2: Convert to fraction form
    410,821.20/616,318.20 = 233,182.80/x
  3. Step 3: Cross multiply
    410,821.20x = 616,318.20 × 233,182.80
  4. Step 4: Simplify right side
    410,821.20x = 143,714,803,566.96
  5. Step 5: Solve for x
    x = 143,714,803,566.96/410,821.20
  6. Step 6: Final answer
    x = 349,823.24

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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.