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Finding the Fourth Proportional to 308,376.27, 462,547.89 and 97,997.85

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Solution

The fourth proportional to 308,376.27, 462,547.89 and 97,997.85 is: 146,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,376.27 : 462,547.89 = 97,997.85 : x
  2. Step 2: Convert to fraction form
    308,376.27/462,547.89 = 97,997.85/x
  3. Step 3: Cross multiply
    308,376.27x = 462,547.89 × 97,997.85
  4. Step 4: Simplify right side
    308,376.27x = 45,328,698,742.04
  5. Step 5: Solve for x
    x = 45,328,698,742.04/308,376.27
  6. Step 6: Final answer
    x = 146,991.53

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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.