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Finding the Fourth Proportional to 314,359.44, 471,274.62 and 136,732.65

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Solution

The fourth proportional to 314,359.44, 471,274.62 and 136,732.65 is: 204,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,359.44 : 471,274.62 = 136,732.65 : x
  2. Step 2: Convert to fraction form
    314,359.44/471,274.62 = 136,732.65/x
  3. Step 3: Cross multiply
    314,359.44x = 471,274.62 × 136,732.65
  4. Step 4: Simplify right side
    314,359.44x = 64,438,627,670.34
  5. Step 5: Solve for x
    x = 64,438,627,670.34/314,359.44
  6. Step 6: Final answer
    x = 204,983.91

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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.