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Finding the Fourth Proportional to 218,141.60, 327,212.40 and 212,892.80

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Solution

The fourth proportional to 218,141.60, 327,212.40 and 212,892.80 is: 319,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,141.60 : 327,212.40 = 212,892.80 : x
  2. Step 2: Convert to fraction form
    218,141.60/327,212.40 = 212,892.80/x
  3. Step 3: Cross multiply
    218,141.60x = 327,212.40 × 212,892.80
  4. Step 4: Simplify right side
    218,141.60x = 69,661,164,030.72
  5. Step 5: Solve for x
    x = 69,661,164,030.72/218,141.60
  6. Step 6: Final answer
    x = 319,339.20

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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.