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Finding the Fourth Proportional to 334,371.51, 461,465.10 and 191,104.25

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Solution

The fourth proportional to 334,371.51, 461,465.10 and 191,104.25 is: 263,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,371.51 : 461,465.10 = 191,104.25 : x
  2. Step 2: Convert to fraction form
    334,371.51/461,465.10 = 191,104.25/x
  3. Step 3: Cross multiply
    334,371.51x = 461,465.10 × 191,104.25
  4. Step 4: Simplify right side
    334,371.51x = 88,187,939,529.35
  5. Step 5: Solve for x
    x = 88,187,939,529.35/334,371.51
  6. Step 6: Final answer
    x = 263,742.39

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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.