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Finding the Fourth Proportional to 301,972.76, 416,730.47 and 164,160.98

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Solution

The fourth proportional to 301,972.76, 416,730.47 and 164,160.98 is: 226,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,972.76 : 416,730.47 = 164,160.98 : x
  2. Step 2: Convert to fraction form
    301,972.76/416,730.47 = 164,160.98/x
  3. Step 3: Cross multiply
    301,972.76x = 416,730.47 × 164,160.98
  4. Step 4: Simplify right side
    301,972.76x = 68,410,879,446.60
  5. Step 5: Solve for x
    x = 68,410,879,446.60/301,972.76
  6. Step 6: Final answer
    x = 226,546.53

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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.