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Finding the Fourth Proportional to 334,766.86, 461,978.25 and 183,863.86

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Solution

The fourth proportional to 334,766.86, 461,978.25 and 183,863.86 is: 253,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,766.86 : 461,978.25 = 183,863.86 : x
  2. Step 2: Convert to fraction form
    334,766.86/461,978.25 = 183,863.86/x
  3. Step 3: Cross multiply
    334,766.86x = 461,978.25 × 183,863.86
  4. Step 4: Simplify right side
    334,766.86x = 84,941,104,281.05
  5. Step 5: Solve for x
    x = 84,941,104,281.05/334,766.86
  6. Step 6: Final answer
    x = 253,732.12

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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.