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Finding the Fourth Proportional to 456,025.86, 684,067 and 152,447.34

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Solution

The fourth proportional to 456,025.86, 684,067 and 152,447.34 is: 228,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,025.86 : 684,067 = 152,447.34 : x
  2. Step 2: Convert to fraction form
    456,025.86/684,067 = 152,447.34/x
  3. Step 3: Cross multiply
    456,025.86x = 684,067 × 152,447.34
  4. Step 4: Simplify right side
    456,025.86x = 104,284,194,531.78
  5. Step 5: Solve for x
    x = 104,284,194,531.78/456,025.86
  6. Step 6: Final answer
    x = 228,680.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.