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Finding the Fourth Proportional to 307,258.56, 460,887.84 and 96,912.90

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Solution

The fourth proportional to 307,258.56, 460,887.84 and 96,912.90 is: 145,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,258.56 : 460,887.84 = 96,912.90 : x
  2. Step 2: Convert to fraction form
    307,258.56/460,887.84 = 96,912.90/x
  3. Step 3: Cross multiply
    307,258.56x = 460,887.84 × 96,912.90
  4. Step 4: Simplify right side
    307,258.56x = 44,665,977,149.14
  5. Step 5: Solve for x
    x = 44,665,977,149.14/307,258.56
  6. Step 6: Final answer
    x = 145,369.35

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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.