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Finding the Fourth Proportional to 304,257.96, 456,358.68 and 114,636.86

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Solution

The fourth proportional to 304,257.96, 456,358.68 and 114,636.86 is: 171,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,257.96 : 456,358.68 = 114,636.86 : x
  2. Step 2: Convert to fraction form
    304,257.96/456,358.68 = 114,636.86/x
  3. Step 3: Cross multiply
    304,257.96x = 456,358.68 × 114,636.86
  4. Step 4: Simplify right side
    304,257.96x = 52,315,523,827.15
  5. Step 5: Solve for x
    x = 52,315,523,827.15/304,257.96
  6. Step 6: Final answer
    x = 171,944.63

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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.