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Finding the Fourth Proportional to 314,059.58, 470,804.31 and 114,238.73

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Solution

The fourth proportional to 314,059.58, 470,804.31 and 114,238.73 is: 171,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,059.58 : 470,804.31 = 114,238.73 : x
  2. Step 2: Convert to fraction form
    314,059.58/470,804.31 = 114,238.73/x
  3. Step 3: Cross multiply
    314,059.58x = 470,804.31 × 114,238.73
  4. Step 4: Simplify right side
    314,059.58x = 53,784,086,452.93
  5. Step 5: Solve for x
    x = 53,784,086,452.93/314,059.58
  6. Step 6: Final answer
    x = 171,254.40

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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.