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Finding the Fourth Proportional to 305,796.96, 458,513.74 and 116,271.18

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Solution

The fourth proportional to 305,796.96, 458,513.74 and 116,271.18 is: 174,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,796.96 : 458,513.74 = 116,271.18 : x
  2. Step 2: Convert to fraction form
    305,796.96/458,513.74 = 116,271.18/x
  3. Step 3: Cross multiply
    305,796.96x = 458,513.74 × 116,271.18
  4. Step 4: Simplify right side
    305,796.96x = 53,311,933,596.01
  5. Step 5: Solve for x
    x = 53,311,933,596.01/305,796.96
  6. Step 6: Final answer
    x = 174,337.68

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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.