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Finding the Fourth Proportional to 5,322,436.80, 7,983,655.20 and 4,128,043.20

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Solution

The fourth proportional to 5,322,436.80, 7,983,655.20 and 4,128,043.20 is: 6,192,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322,436.80 : 7,983,655.20 = 4,128,043.20 : x
  2. Step 2: Convert to fraction form
    5,322,436.80/7,983,655.20 = 4,128,043.20/x
  3. Step 3: Cross multiply
    5,322,436.80x = 7,983,655.20 × 4,128,043.20
  4. Step 4: Simplify right side
    5,322,436.80x = 32,956,873,559,504.64
  5. Step 5: Solve for x
    x = 32,956,873,559,504.64/5,322,436.80
  6. Step 6: Final answer
    x = 6,192,064.80

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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.