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Finding the Fourth Proportional to 308,418.24, 462,627.84 and 86,802.24

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Solution

The fourth proportional to 308,418.24, 462,627.84 and 86,802.24 is: 130,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,418.24 : 462,627.84 = 86,802.24 : x
  2. Step 2: Convert to fraction form
    308,418.24/462,627.84 = 86,802.24/x
  3. Step 3: Cross multiply
    308,418.24x = 462,627.84 × 86,802.24
  4. Step 4: Simplify right side
    308,418.24x = 40,157,132,798.36
  5. Step 5: Solve for x
    x = 40,157,132,798.36/308,418.24
  6. Step 6: Final answer
    x = 130,203.50

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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.