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Finding the Fourth Proportional to 310,048.62, 464,980.50 and 120,538.44

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Solution

The fourth proportional to 310,048.62, 464,980.50 and 120,538.44 is: 180,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,048.62 : 464,980.50 = 120,538.44 : x
  2. Step 2: Convert to fraction form
    310,048.62/464,980.50 = 120,538.44/x
  3. Step 3: Cross multiply
    310,048.62x = 464,980.50 × 120,538.44
  4. Step 4: Simplify right side
    310,048.62x = 56,048,024,100.42
  5. Step 5: Solve for x
    x = 56,048,024,100.42/310,048.62
  6. Step 6: Final answer
    x = 180,771.73

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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.