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Finding the Fourth Proportional to 361,893.16, 499,432.26 and 234,677.80

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Solution

The fourth proportional to 361,893.16, 499,432.26 and 234,677.80 is: 323,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,893.16 : 499,432.26 = 234,677.80 : x
  2. Step 2: Convert to fraction form
    361,893.16/499,432.26 = 234,677.80/x
  3. Step 3: Cross multiply
    361,893.16x = 499,432.26 × 234,677.80
  4. Step 4: Simplify right side
    361,893.16x = 117,205,664,025.83
  5. Step 5: Solve for x
    x = 117,205,664,025.83/361,893.16
  6. Step 6: Final answer
    x = 323,868.14

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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.