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Finding the Fourth Proportional to 340,915.74, 511,324.35 and 104,194.86

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Solution

The fourth proportional to 340,915.74, 511,324.35 and 104,194.86 is: 156,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,915.74 : 511,324.35 = 104,194.86 : x
  2. Step 2: Convert to fraction form
    340,915.74/511,324.35 = 104,194.86/x
  3. Step 3: Cross multiply
    340,915.74x = 511,324.35 × 104,194.86
  4. Step 4: Simplify right side
    340,915.74x = 53,277,366,754.64
  5. Step 5: Solve for x
    x = 53,277,366,754.64/340,915.74
  6. Step 6: Final answer
    x = 156,277.23

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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.