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Finding the Fourth Proportional to 304,567.92, 456,709.72 and 114,882.12

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Solution

The fourth proportional to 304,567.92, 456,709.72 and 114,882.12 is: 172,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,567.92 : 456,709.72 = 114,882.12 : x
  2. Step 2: Convert to fraction form
    304,567.92/456,709.72 = 114,882.12/x
  3. Step 3: Cross multiply
    304,567.92x = 456,709.72 × 114,882.12
  4. Step 4: Simplify right side
    304,567.92x = 52,467,780,858.21
  5. Step 5: Solve for x
    x = 52,467,780,858.21/304,567.92
  6. Step 6: Final answer
    x = 172,269.56

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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.