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Finding the Fourth Proportional to 308,582.28, 462,126.06 and 213,546.24

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Solution

The fourth proportional to 308,582.28, 462,126.06 and 213,546.24 is: 319,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,582.28 : 462,126.06 = 213,546.24 : x
  2. Step 2: Convert to fraction form
    308,582.28/462,126.06 = 213,546.24/x
  3. Step 3: Cross multiply
    308,582.28x = 462,126.06 × 213,546.24
  4. Step 4: Simplify right side
    308,582.28x = 98,685,282,519.01
  5. Step 5: Solve for x
    x = 98,685,282,519.01/308,582.28
  6. Step 6: Final answer
    x = 319,802.17

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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.