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Finding the Fourth Proportional to 314,368.22, 471,287.82 and 136,741.44

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Solution

The fourth proportional to 314,368.22, 471,287.82 and 136,741.44 is: 204,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,368.22 : 471,287.82 = 136,741.44 : x
  2. Step 2: Convert to fraction form
    314,368.22/471,287.82 = 136,741.44/x
  3. Step 3: Cross multiply
    314,368.22x = 471,287.82 × 136,741.44
  4. Step 4: Simplify right side
    314,368.22x = 64,444,575,161.26
  5. Step 5: Solve for x
    x = 64,444,575,161.26/314,368.22
  6. Step 6: Final answer
    x = 204,997.11

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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.