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Finding the Fourth Proportional to 304,043.20, 456,064.80 and 135,563.20

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Solution

The fourth proportional to 304,043.20, 456,064.80 and 135,563.20 is: 203,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,043.20 : 456,064.80 = 135,563.20 : x
  2. Step 2: Convert to fraction form
    304,043.20/456,064.80 = 135,563.20/x
  3. Step 3: Cross multiply
    304,043.20x = 456,064.80 × 135,563.20
  4. Step 4: Simplify right side
    304,043.20x = 61,825,603,695.36
  5. Step 5: Solve for x
    x = 61,825,603,695.36/304,043.20
  6. Step 6: Final answer
    x = 203,344.80

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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.