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Finding the Fourth Proportional to 308,331.28, 462,398.50 and 97,920.01

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Solution

The fourth proportional to 308,331.28, 462,398.50 and 97,920.01 is: 146,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,331.28 : 462,398.50 = 97,920.01 : x
  2. Step 2: Convert to fraction form
    308,331.28/462,398.50 = 97,920.01/x
  3. Step 3: Cross multiply
    308,331.28x = 462,398.50 × 97,920.01
  4. Step 4: Simplify right side
    308,331.28x = 45,278,065,743.99
  5. Step 5: Solve for x
    x = 45,278,065,743.99/308,331.28
  6. Step 6: Final answer
    x = 146,848.76

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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.