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Finding the Fourth Proportional to 309,331.80, 464,000.44 and 122,343.32

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Solution

The fourth proportional to 309,331.80, 464,000.44 and 122,343.32 is: 183,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,331.80 : 464,000.44 = 122,343.32 : x
  2. Step 2: Convert to fraction form
    309,331.80/464,000.44 = 122,343.32/x
  3. Step 3: Cross multiply
    309,331.80x = 464,000.44 × 122,343.32
  4. Step 4: Simplify right side
    309,331.80x = 56,767,354,311.06
  5. Step 5: Solve for x
    x = 56,767,354,311.06/309,331.80
  6. Step 6: Final answer
    x = 183,516.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.