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Finding the Fourth Proportional to 410,660.60, 616,077.30 and 173,881.40

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Solution

The fourth proportional to 410,660.60, 616,077.30 and 173,881.40 is: 260,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,660.60 : 616,077.30 = 173,881.40 : x
  2. Step 2: Convert to fraction form
    410,660.60/616,077.30 = 173,881.40/x
  3. Step 3: Cross multiply
    410,660.60x = 616,077.30 × 173,881.40
  4. Step 4: Simplify right side
    410,660.60x = 107,124,383,432.22
  5. Step 5: Solve for x
    x = 107,124,383,432.22/410,660.60
  6. Step 6: Final answer
    x = 260,858.68

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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.