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Finding the Fourth Proportional to 309,899.64, 464,881.86 and 110,238.42

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Solution

The fourth proportional to 309,899.64, 464,881.86 and 110,238.42 is: 165,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,899.64 : 464,881.86 = 110,238.42 : x
  2. Step 2: Convert to fraction form
    309,899.64/464,881.86 = 110,238.42/x
  3. Step 3: Cross multiply
    309,899.64x = 464,881.86 × 110,238.42
  4. Step 4: Simplify right side
    309,899.64x = 51,247,841,733.06
  5. Step 5: Solve for x
    x = 51,247,841,733.06/309,899.64
  6. Step 6: Final answer
    x = 165,369.16

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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.