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Finding the Fourth Proportional to 304,133.40, 456,459.30 and 135,912.60

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Solution

The fourth proportional to 304,133.40, 456,459.30 and 135,912.60 is: 203,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,133.40 : 456,459.30 = 135,912.60 : x
  2. Step 2: Convert to fraction form
    304,133.40/456,459.30 = 135,912.60/x
  3. Step 3: Cross multiply
    304,133.40x = 456,459.30 × 135,912.60
  4. Step 4: Simplify right side
    304,133.40x = 62,038,570,257.18
  5. Step 5: Solve for x
    x = 62,038,570,257.18/304,133.40
  6. Step 6: Final answer
    x = 203,984.73

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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.