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Finding the Fourth Proportional to 330,171.48, 495,284.76 and 105,563.88

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Solution

The fourth proportional to 330,171.48, 495,284.76 and 105,563.88 is: 158,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,171.48 : 495,284.76 = 105,563.88 : x
  2. Step 2: Convert to fraction form
    330,171.48/495,284.76 = 105,563.88/x
  3. Step 3: Cross multiply
    330,171.48x = 495,284.76 × 105,563.88
  4. Step 4: Simplify right side
    330,171.48x = 52,284,180,970.47
  5. Step 5: Solve for x
    x = 52,284,180,970.47/330,171.48
  6. Step 6: Final answer
    x = 158,354.63

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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.