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Finding the Fourth Proportional to 308,530.45, 462,829.70 and 98,119.18

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Solution

The fourth proportional to 308,530.45, 462,829.70 and 98,119.18 is: 147,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,530.45 : 462,829.70 = 98,119.18 : x
  2. Step 2: Convert to fraction form
    308,530.45/462,829.70 = 98,119.18/x
  3. Step 3: Cross multiply
    308,530.45x = 462,829.70 × 98,119.18
  4. Step 4: Simplify right side
    308,530.45x = 45,412,470,643.65
  5. Step 5: Solve for x
    x = 45,412,470,643.65/308,530.45
  6. Step 6: Final answer
    x = 147,189.59

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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.