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Finding the Fourth Proportional to 308,390.94, 462,581.55 and 98,025.84

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Solution

The fourth proportional to 308,390.94, 462,581.55 and 98,025.84 is: 147,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,390.94 : 462,581.55 = 98,025.84 : x
  2. Step 2: Convert to fraction form
    308,390.94/462,581.55 = 98,025.84/x
  3. Step 3: Cross multiply
    308,390.94x = 462,581.55 × 98,025.84
  4. Step 4: Simplify right side
    308,390.94x = 45,344,945,007.25
  5. Step 5: Solve for x
    x = 45,344,945,007.25/308,390.94
  6. Step 6: Final answer
    x = 147,037.22

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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.