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Finding the Fourth Proportional to 410,856, 616,283.80 and 154,736.84

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Solution

The fourth proportional to 410,856, 616,283.80 and 154,736.84 is: 232,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,856 : 616,283.80 = 154,736.84 : x
  2. Step 2: Convert to fraction form
    410,856/616,283.80 = 154,736.84/x
  3. Step 3: Cross multiply
    410,856x = 616,283.80 × 154,736.84
  4. Step 4: Simplify right side
    410,856x = 95,361,807,755.19
  5. Step 5: Solve for x
    x = 95,361,807,755.19/410,856
  6. Step 6: Final answer
    x = 232,105.18

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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.