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Finding the Fourth Proportional to 458,165.24, 632,258.40 and 254,211.77

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Solution

The fourth proportional to 458,165.24, 632,258.40 and 254,211.77 is: 350,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,165.24 : 632,258.40 = 254,211.77 : x
  2. Step 2: Convert to fraction form
    458,165.24/632,258.40 = 254,211.77/x
  3. Step 3: Cross multiply
    458,165.24x = 632,258.40 × 254,211.77
  4. Step 4: Simplify right side
    458,165.24x = 160,727,526,961.37
  5. Step 5: Solve for x
    x = 160,727,526,961.37/458,165.24
  6. Step 6: Final answer
    x = 350,806.90

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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.