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Finding the Fourth Proportional to 325,814.60, 488,333.10 and 136,274.60

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Solution

The fourth proportional to 325,814.60, 488,333.10 and 136,274.60 is: 204,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,814.60 : 488,333.10 = 136,274.60 : x
  2. Step 2: Convert to fraction form
    325,814.60/488,333.10 = 136,274.60/x
  3. Step 3: Cross multiply
    325,814.60x = 488,333.10 × 136,274.60
  4. Step 4: Simplify right side
    325,814.60x = 66,547,397,869.26
  5. Step 5: Solve for x
    x = 66,547,397,869.26/325,814.60
  6. Step 6: Final answer
    x = 204,249.28

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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.