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Finding the Fourth Proportional to 308,403.24, 462,506.40 and 97,991.97

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Solution

The fourth proportional to 308,403.24, 462,506.40 and 97,991.97 is: 146,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,403.24 : 462,506.40 = 97,991.97 : x
  2. Step 2: Convert to fraction form
    308,403.24/462,506.40 = 97,991.97/x
  3. Step 3: Cross multiply
    308,403.24x = 462,506.40 × 97,991.97
  4. Step 4: Simplify right side
    308,403.24x = 45,321,913,273.61
  5. Step 5: Solve for x
    x = 45,321,913,273.61/308,403.24
  6. Step 6: Final answer
    x = 146,956.67

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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.