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Finding the Fourth Proportional to 445,924.86, 615,201.14 and 254,835.74

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Solution

The fourth proportional to 445,924.86, 615,201.14 and 254,835.74 is: 351,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,924.86 : 615,201.14 = 254,835.74 : x
  2. Step 2: Convert to fraction form
    445,924.86/615,201.14 = 254,835.74/x
  3. Step 3: Cross multiply
    445,924.86x = 615,201.14 × 254,835.74
  4. Step 4: Simplify right side
    445,924.86x = 156,775,237,760.74
  5. Step 5: Solve for x
    x = 156,775,237,760.74/445,924.86
  6. Step 6: Final answer
    x = 351,573.22

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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.