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Finding the Fourth Proportional to 309,608.56, 464,454.16 and 122,576.32

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Solution

The fourth proportional to 309,608.56, 464,454.16 and 122,576.32 is: 183,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,608.56 : 464,454.16 = 122,576.32 : x
  2. Step 2: Convert to fraction form
    309,608.56/464,454.16 = 122,576.32/x
  3. Step 3: Cross multiply
    309,608.56x = 464,454.16 × 122,576.32
  4. Step 4: Simplify right side
    309,608.56x = 56,931,081,741.49
  5. Step 5: Solve for x
    x = 56,931,081,741.49/309,608.56
  6. Step 6: Final answer
    x = 183,880.84

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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.