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Finding the Fourth Proportional to 308,978.53, 463,719.21 and 159,261.63

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Solution

The fourth proportional to 308,978.53, 463,719.21 and 159,261.63 is: 239,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,978.53 : 463,719.21 = 159,261.63 : x
  2. Step 2: Convert to fraction form
    308,978.53/463,719.21 = 159,261.63/x
  3. Step 3: Cross multiply
    308,978.53x = 463,719.21 × 159,261.63
  4. Step 4: Simplify right side
    308,978.53x = 73,852,679,271.29
  5. Step 5: Solve for x
    x = 73,852,679,271.29/308,978.53
  6. Step 6: Final answer
    x = 239,022.04

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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.