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Finding the Fourth Proportional to 214,902.40, 322,353.60 and 170,665.60

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Solution

The fourth proportional to 214,902.40, 322,353.60 and 170,665.60 is: 255,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,902.40 : 322,353.60 = 170,665.60 : x
  2. Step 2: Convert to fraction form
    214,902.40/322,353.60 = 170,665.60/x
  3. Step 3: Cross multiply
    214,902.40x = 322,353.60 × 170,665.60
  4. Step 4: Simplify right side
    214,902.40x = 55,014,670,556.16
  5. Step 5: Solve for x
    x = 55,014,670,556.16/214,902.40
  6. Step 6: Final answer
    x = 255,998.40

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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.