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Finding the Fourth Proportional to 458,856.64, 633,201.60 and 254,921.86

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Solution

The fourth proportional to 458,856.64, 633,201.60 and 254,921.86 is: 351,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,856.64 : 633,201.60 = 254,921.86 : x
  2. Step 2: Convert to fraction form
    458,856.64/633,201.60 = 254,921.86/x
  3. Step 3: Cross multiply
    458,856.64x = 633,201.60 × 254,921.86
  4. Step 4: Simplify right side
    458,856.64x = 161,416,929,626.98
  5. Step 5: Solve for x
    x = 161,416,929,626.98/458,856.64
  6. Step 6: Final answer
    x = 351,780.74

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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.