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Finding the Fourth Proportional to 334,358.82, 461,415.12 and 191,121.93

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Solution

The fourth proportional to 334,358.82, 461,415.12 and 191,121.93 is: 263,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,358.82 : 461,415.12 = 191,121.93 : x
  2. Step 2: Convert to fraction form
    334,358.82/461,415.12 = 191,121.93/x
  3. Step 3: Cross multiply
    334,358.82x = 461,415.12 × 191,121.93
  4. Step 4: Simplify right side
    334,358.82x = 88,186,548,265.58
  5. Step 5: Solve for x
    x = 88,186,548,265.58/334,358.82
  6. Step 6: Final answer
    x = 263,748.23

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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.