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Finding the Fourth Proportional to 393,003.20, 589,504.80 and 314,271.20

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Solution

The fourth proportional to 393,003.20, 589,504.80 and 314,271.20 is: 471,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,003.20 : 589,504.80 = 314,271.20 : x
  2. Step 2: Convert to fraction form
    393,003.20/589,504.80 = 314,271.20/x
  3. Step 3: Cross multiply
    393,003.20x = 589,504.80 × 314,271.20
  4. Step 4: Simplify right side
    393,003.20x = 185,264,380,901.76
  5. Step 5: Solve for x
    x = 185,264,380,901.76/393,003.20
  6. Step 6: Final answer
    x = 471,406.80

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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.