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Finding the Fourth Proportional to 549,697.60, 824,546.40 and 269,761.60

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Solution

The fourth proportional to 549,697.60, 824,546.40 and 269,761.60 is: 404,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,697.60 : 824,546.40 = 269,761.60 : x
  2. Step 2: Convert to fraction form
    549,697.60/824,546.40 = 269,761.60/x
  3. Step 3: Cross multiply
    549,697.60x = 824,546.40 × 269,761.60
  4. Step 4: Simplify right side
    549,697.60x = 222,430,956,138.24
  5. Step 5: Solve for x
    x = 222,430,956,138.24/549,697.60
  6. Step 6: Final answer
    x = 404,642.40

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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.