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Finding the Fourth Proportional to 314,362.22, 471,278.82 and 136,735.44

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Solution

The fourth proportional to 314,362.22, 471,278.82 and 136,735.44 is: 204,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,362.22 : 471,278.82 = 136,735.44 : x
  2. Step 2: Convert to fraction form
    314,362.22/471,278.82 = 136,735.44/x
  3. Step 3: Cross multiply
    314,362.22x = 471,278.82 × 136,735.44
  4. Step 4: Simplify right side
    314,362.22x = 64,440,516,815.38
  5. Step 5: Solve for x
    x = 64,440,516,815.38/314,362.22
  6. Step 6: Final answer
    x = 204,988.11

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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.