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Finding the Fourth Proportional to 264,732.60, 396,515.70 and 185,417.40

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Solution

The fourth proportional to 264,732.60, 396,515.70 and 185,417.40 is: 277,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,732.60 : 396,515.70 = 185,417.40 : x
  2. Step 2: Convert to fraction form
    264,732.60/396,515.70 = 185,417.40/x
  3. Step 3: Cross multiply
    264,732.60x = 396,515.70 × 185,417.40
  4. Step 4: Simplify right side
    264,732.60x = 73,520,910,153.18
  5. Step 5: Solve for x
    x = 73,520,910,153.18/264,732.60
  6. Step 6: Final answer
    x = 277,717.63

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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.