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Finding the Fourth Proportional to 305,693.48, 458,619.50 and 116,157.13

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Solution

The fourth proportional to 305,693.48, 458,619.50 and 116,157.13 is: 174,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,693.48 : 458,619.50 = 116,157.13 : x
  2. Step 2: Convert to fraction form
    305,693.48/458,619.50 = 116,157.13/x
  3. Step 3: Cross multiply
    305,693.48x = 458,619.50 × 116,157.13
  4. Step 4: Simplify right side
    305,693.48x = 53,271,924,882.04
  5. Step 5: Solve for x
    x = 53,271,924,882.04/305,693.48
  6. Step 6: Final answer
    x = 174,265.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.