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Finding the Fourth Proportional to 305,862.70, 422,076.24 and 169,905.40

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Solution

The fourth proportional to 305,862.70, 422,076.24 and 169,905.40 is: 234,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862.70 : 422,076.24 = 169,905.40 : x
  2. Step 2: Convert to fraction form
    305,862.70/422,076.24 = 169,905.40/x
  3. Step 3: Cross multiply
    305,862.70x = 422,076.24 × 169,905.40
  4. Step 4: Simplify right side
    305,862.70x = 71,713,032,387.70
  5. Step 5: Solve for x
    x = 71,713,032,387.70/305,862.70
  6. Step 6: Final answer
    x = 234,461.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.