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Finding the Fourth Proportional to 301,258.95, 415,737.16 and 165,293.76

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Solution

The fourth proportional to 301,258.95, 415,737.16 and 165,293.76 is: 228,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,258.95 : 415,737.16 = 165,293.76 : x
  2. Step 2: Convert to fraction form
    301,258.95/415,737.16 = 165,293.76/x
  3. Step 3: Cross multiply
    301,258.95x = 415,737.16 × 165,293.76
  4. Step 4: Simplify right side
    301,258.95x = 68,718,759,493.90
  5. Step 5: Solve for x
    x = 68,718,759,493.90/301,258.95
  6. Step 6: Final answer
    x = 228,105.29

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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.