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Finding the Fourth Proportional to 314,164.20, 471,246.30 and 251,956.20

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Solution

The fourth proportional to 314,164.20, 471,246.30 and 251,956.20 is: 377,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,164.20 : 471,246.30 = 251,956.20 : x
  2. Step 2: Convert to fraction form
    314,164.20/471,246.30 = 251,956.20/x
  3. Step 3: Cross multiply
    314,164.20x = 471,246.30 × 251,956.20
  4. Step 4: Simplify right side
    314,164.20x = 118,733,427,012.06
  5. Step 5: Solve for x
    x = 118,733,427,012.06/314,164.20
  6. Step 6: Final answer
    x = 377,934.30

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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.