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Finding the Fourth Proportional to 316,851.20, 474,499.20 and 211,097.60

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Solution

The fourth proportional to 316,851.20, 474,499.20 and 211,097.60 is: 316,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,851.20 : 474,499.20 = 211,097.60 : x
  2. Step 2: Convert to fraction form
    316,851.20/474,499.20 = 211,097.60/x
  3. Step 3: Cross multiply
    316,851.20x = 474,499.20 × 211,097.60
  4. Step 4: Simplify right side
    316,851.20x = 100,165,642,321.92
  5. Step 5: Solve for x
    x = 100,165,642,321.92/316,851.20
  6. Step 6: Final answer
    x = 316,128.34

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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.