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Finding the Fourth Proportional to 306,081.30, 458,793.90 and 116,468.40

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Solution

The fourth proportional to 306,081.30, 458,793.90 and 116,468.40 is: 174,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,081.30 : 458,793.90 = 116,468.40 : x
  2. Step 2: Convert to fraction form
    306,081.30/458,793.90 = 116,468.40/x
  3. Step 3: Cross multiply
    306,081.30x = 458,793.90 × 116,468.40
  4. Step 4: Simplify right side
    306,081.30x = 53,434,991,462.76
  5. Step 5: Solve for x
    x = 53,434,991,462.76/306,081.30
  6. Step 6: Final answer
    x = 174,577.77

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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.