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Finding the Fourth Proportional to 329,050.40, 493,575.60 and 311,943.20

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Solution

The fourth proportional to 329,050.40, 493,575.60 and 311,943.20 is: 467,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,050.40 : 493,575.60 = 311,943.20 : x
  2. Step 2: Convert to fraction form
    329,050.40/493,575.60 = 311,943.20/x
  3. Step 3: Cross multiply
    329,050.40x = 493,575.60 × 311,943.20
  4. Step 4: Simplify right side
    329,050.40x = 153,967,552,105.92
  5. Step 5: Solve for x
    x = 153,967,552,105.92/329,050.40
  6. Step 6: Final answer
    x = 467,914.80

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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.