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Finding the Fourth Proportional to 308,330.28, 462,397.01 and 97,919.01

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Solution

The fourth proportional to 308,330.28, 462,397.01 and 97,919.01 is: 146,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,330.28 : 462,397.01 = 97,919.01 : x
  2. Step 2: Convert to fraction form
    308,330.28/462,397.01 = 97,919.01/x
  3. Step 3: Cross multiply
    308,330.28x = 462,397.01 × 97,919.01
  4. Step 4: Simplify right side
    308,330.28x = 45,277,456,956.57
  5. Step 5: Solve for x
    x = 45,277,456,956.57/308,330.28
  6. Step 6: Final answer
    x = 146,847.26

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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.