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Finding the Fourth Proportional to 304,125.40, 456,447.30 and 135,904.60

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Solution

The fourth proportional to 304,125.40, 456,447.30 and 135,904.60 is: 203,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,125.40 : 456,447.30 = 135,904.60 : x
  2. Step 2: Convert to fraction form
    304,125.40/456,447.30 = 135,904.60/x
  3. Step 3: Cross multiply
    304,125.40x = 456,447.30 × 135,904.60
  4. Step 4: Simplify right side
    304,125.40x = 62,033,287,727.58
  5. Step 5: Solve for x
    x = 62,033,287,727.58/304,125.40
  6. Step 6: Final answer
    x = 203,972.73

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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.