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Finding the Fourth Proportional to 297,713.28, 410,742.72 and 184,494.72

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Solution

The fourth proportional to 297,713.28, 410,742.72 and 184,494.72 is: 254,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.28 : 410,742.72 = 184,494.72 : x
  2. Step 2: Convert to fraction form
    297,713.28/410,742.72 = 184,494.72/x
  3. Step 3: Cross multiply
    297,713.28x = 410,742.72 × 184,494.72
  4. Step 4: Simplify right side
    297,713.28x = 75,779,863,118.44
  5. Step 5: Solve for x
    x = 75,779,863,118.44/297,713.28
  6. Step 6: Final answer
    x = 254,539.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.