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Finding the Fourth Proportional to 422,483.97, 633,726.40 and 106,940.91

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Solution

The fourth proportional to 422,483.97, 633,726.40 and 106,940.91 is: 160,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,483.97 : 633,726.40 = 106,940.91 : x
  2. Step 2: Convert to fraction form
    422,483.97/633,726.40 = 106,940.91/x
  3. Step 3: Cross multiply
    422,483.97x = 633,726.40 × 106,940.91
  4. Step 4: Simplify right side
    422,483.97x = 67,771,277,907.02
  5. Step 5: Solve for x
    x = 67,771,277,907.02/422,483.97
  6. Step 6: Final answer
    x = 160,411.48

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1.5x scale

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.