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Finding the Fourth Proportional to 410,915.56, 616,050.30 and 276,116.44

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Solution

The fourth proportional to 410,915.56, 616,050.30 and 276,116.44 is: 413,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,915.56 : 616,050.30 = 276,116.44 : x
  2. Step 2: Convert to fraction form
    410,915.56/616,050.30 = 276,116.44/x
  3. Step 3: Cross multiply
    410,915.56x = 616,050.30 × 276,116.44
  4. Step 4: Simplify right side
    410,915.56x = 170,101,615,696.93
  5. Step 5: Solve for x
    x = 170,101,615,696.93/410,915.56
  6. Step 6: Final answer
    x = 413,957.59

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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.