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Finding the Fourth Proportional to 304,464.20, 456,797.72 and 102,080.33

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Solution

The fourth proportional to 304,464.20, 456,797.72 and 102,080.33 is: 153,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,464.20 : 456,797.72 = 102,080.33 : x
  2. Step 2: Convert to fraction form
    304,464.20/456,797.72 = 102,080.33/x
  3. Step 3: Cross multiply
    304,464.20x = 456,797.72 × 102,080.33
  4. Step 4: Simplify right side
    304,464.20x = 46,630,062,000.85
  5. Step 5: Solve for x
    x = 46,630,062,000.85/304,464.20
  6. Step 6: Final answer
    x = 153,154.50

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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.