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Finding the Fourth Proportional to 334,699.82, 461,820.79 and 198,776.40

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Solution

The fourth proportional to 334,699.82, 461,820.79 and 198,776.40 is: 274,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,699.82 : 461,820.79 = 198,776.40 : x
  2. Step 2: Convert to fraction form
    334,699.82/461,820.79 = 198,776.40/x
  3. Step 3: Cross multiply
    334,699.82x = 461,820.79 × 198,776.40
  4. Step 4: Simplify right side
    334,699.82x = 91,799,074,081.36
  5. Step 5: Solve for x
    x = 91,799,074,081.36/334,699.82
  6. Step 6: Final answer
    x = 274,272.86

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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.