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Finding the Fourth Proportional to 422,105.82, 583,017.24 and 307,202.25

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Solution

The fourth proportional to 422,105.82, 583,017.24 and 307,202.25 is: 424,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,105.82 : 583,017.24 = 307,202.25 : x
  2. Step 2: Convert to fraction form
    422,105.82/583,017.24 = 307,202.25/x
  3. Step 3: Cross multiply
    422,105.82x = 583,017.24 × 307,202.25
  4. Step 4: Simplify right side
    422,105.82x = 179,104,207,916.79
  5. Step 5: Solve for x
    x = 179,104,207,916.79/422,105.82
  6. Step 6: Final answer
    x = 424,311.15

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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.