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Finding the Fourth Proportional to 218,145.60, 327,218.40 and 212,896.80

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Solution

The fourth proportional to 218,145.60, 327,218.40 and 212,896.80 is: 319,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,145.60 : 327,218.40 = 212,896.80 : x
  2. Step 2: Convert to fraction form
    218,145.60/327,218.40 = 212,896.80/x
  3. Step 3: Cross multiply
    218,145.60x = 327,218.40 × 212,896.80
  4. Step 4: Simplify right side
    218,145.60x = 69,663,750,261.12
  5. Step 5: Solve for x
    x = 69,663,750,261.12/218,145.60
  6. Step 6: Final answer
    x = 319,345.20

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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.