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Finding the Fourth Proportional to 308,473.95, 462,743.78 and 98,062.68

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Solution

The fourth proportional to 308,473.95, 462,743.78 and 98,062.68 is: 147,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,473.95 : 462,743.78 = 98,062.68 : x
  2. Step 2: Convert to fraction form
    308,473.95/462,743.78 = 98,062.68/x
  3. Step 3: Cross multiply
    308,473.95x = 462,743.78 × 98,062.68
  4. Step 4: Simplify right side
    308,473.95x = 45,377,894,729.82
  5. Step 5: Solve for x
    x = 45,377,894,729.82/308,473.95
  6. Step 6: Final answer
    x = 147,104.46

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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.