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Finding the Fourth Proportional to 334,937.28, 462,218.68 and 181,978.48

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Solution

The fourth proportional to 334,937.28, 462,218.68 and 181,978.48 is: 251,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,937.28 : 462,218.68 = 181,978.48 : x
  2. Step 2: Convert to fraction form
    334,937.28/462,218.68 = 181,978.48/x
  3. Step 3: Cross multiply
    334,937.28x = 462,218.68 × 181,978.48
  4. Step 4: Simplify right side
    334,937.28x = 84,113,852,814.01
  5. Step 5: Solve for x
    x = 84,113,852,814.01/334,937.28
  6. Step 6: Final answer
    x = 251,133.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.