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Finding the Fourth Proportional to 308,419.24, 462,629.34 and 86,803.24

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Solution

The fourth proportional to 308,419.24, 462,629.34 and 86,803.24 is: 130,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,419.24 : 462,629.34 = 86,803.24 : x
  2. Step 2: Convert to fraction form
    308,419.24/462,629.34 = 86,803.24/x
  3. Step 3: Cross multiply
    308,419.24x = 462,629.34 × 86,803.24
  4. Step 4: Simplify right side
    308,419.24x = 40,157,725,631.06
  5. Step 5: Solve for x
    x = 40,157,725,631.06/308,419.24
  6. Step 6: Final answer
    x = 130,205.00

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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.