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Finding the Fourth Proportional to 334,761.54, 461,978.01 and 183,857.46

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Solution

The fourth proportional to 334,761.54, 461,978.01 and 183,857.46 is: 253,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,761.54 : 461,978.01 = 183,857.46 : x
  2. Step 2: Convert to fraction form
    334,761.54/461,978.01 = 183,857.46/x
  3. Step 3: Cross multiply
    334,761.54x = 461,978.01 × 183,857.46
  4. Step 4: Simplify right side
    334,761.54x = 84,938,103,494.45
  5. Step 5: Solve for x
    x = 84,938,103,494.45/334,761.54
  6. Step 6: Final answer
    x = 253,727.19

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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.