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Finding the Fourth Proportional to 468,652.64, 646,741.26 and 253,793.05

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Solution

The fourth proportional to 468,652.64, 646,741.26 and 253,793.05 is: 350,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,652.64 : 646,741.26 = 253,793.05 : x
  2. Step 2: Convert to fraction form
    468,652.64/646,741.26 = 253,793.05/x
  3. Step 3: Cross multiply
    468,652.64x = 646,741.26 × 253,793.05
  4. Step 4: Simplify right side
    468,652.64x = 164,138,435,319.39
  5. Step 5: Solve for x
    x = 164,138,435,319.39/468,652.64
  6. Step 6: Final answer
    x = 350,234.74

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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.