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Finding the Fourth Proportional to 334,470.66, 461,569.82 and 191,233.70

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Solution

The fourth proportional to 334,470.66, 461,569.82 and 191,233.70 is: 263,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,470.66 : 461,569.82 = 191,233.70 : x
  2. Step 2: Convert to fraction form
    334,470.66/461,569.82 = 191,233.70/x
  3. Step 3: Cross multiply
    334,470.66x = 461,569.82 × 191,233.70
  4. Step 4: Simplify right side
    334,470.66x = 88,267,704,486.93
  5. Step 5: Solve for x
    x = 88,267,704,486.93/334,470.66
  6. Step 6: Final answer
    x = 263,902.68

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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.