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Finding the Fourth Proportional to 471,003.40, 705,468.30 and 329,998.60

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Solution

The fourth proportional to 471,003.40, 705,468.30 and 329,998.60 is: 494,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,003.40 : 705,468.30 = 329,998.60 : x
  2. Step 2: Convert to fraction form
    471,003.40/705,468.30 = 329,998.60/x
  3. Step 3: Cross multiply
    471,003.40x = 705,468.30 × 329,998.60
  4. Step 4: Simplify right side
    471,003.40x = 232,803,551,344.38
  5. Step 5: Solve for x
    x = 232,803,551,344.38/471,003.40
  6. Step 6: Final answer
    x = 494,271.49

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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.