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Finding the Fourth Proportional to 310,092.10, 465,138.15 and 305,944.90

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Solution

The fourth proportional to 310,092.10, 465,138.15 and 305,944.90 is: 458,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,092.10 : 465,138.15 = 305,944.90 : x
  2. Step 2: Convert to fraction form
    310,092.10/465,138.15 = 305,944.90/x
  3. Step 3: Cross multiply
    310,092.10x = 465,138.15 × 305,944.90
  4. Step 4: Simplify right side
    310,092.10x = 142,306,644,787.94
  5. Step 5: Solve for x
    x = 142,306,644,787.94/310,092.10
  6. Step 6: Final answer
    x = 458,917.35

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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.