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Finding the Fourth Proportional to 316,234.87, 474,415.79 and 116,556.30

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Solution

The fourth proportional to 316,234.87, 474,415.79 and 116,556.30 is: 174,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,234.87 : 474,415.79 = 116,556.30 : x
  2. Step 2: Convert to fraction form
    316,234.87/474,415.79 = 116,556.30/x
  3. Step 3: Cross multiply
    316,234.87x = 474,415.79 × 116,556.30
  4. Step 4: Simplify right side
    316,234.87x = 55,296,148,561.20
  5. Step 5: Solve for x
    x = 55,296,148,561.20/316,234.87
  6. Step 6: Final answer
    x = 174,857.85

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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.