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Finding the Fourth Proportional to 410,848.40, 616,272.60 and 189,664.40

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Solution

The fourth proportional to 410,848.40, 616,272.60 and 189,664.40 is: 284,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,848.40 : 616,272.60 = 189,664.40 : x
  2. Step 2: Convert to fraction form
    410,848.40/616,272.60 = 189,664.40/x
  3. Step 3: Cross multiply
    410,848.40x = 616,272.60 × 189,664.40
  4. Step 4: Simplify right side
    410,848.40x = 116,884,972,915.44
  5. Step 5: Solve for x
    x = 116,884,972,915.44/410,848.40
  6. Step 6: Final answer
    x = 284,496.60

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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.