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Finding the Fourth Proportional to 314,701.38, 471,631.68 and 114,833.88

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Solution

The fourth proportional to 314,701.38, 471,631.68 and 114,833.88 is: 172,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,701.38 : 471,631.68 = 114,833.88 : x
  2. Step 2: Convert to fraction form
    314,701.38/471,631.68 = 114,833.88/x
  3. Step 3: Cross multiply
    314,701.38x = 471,631.68 × 114,833.88
  4. Step 4: Simplify right side
    314,701.38x = 54,159,295,745.32
  5. Step 5: Solve for x
    x = 54,159,295,745.32/314,701.38
  6. Step 6: Final answer
    x = 172,097.42

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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.