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Finding the Fourth Proportional to 340,346.40, 510,001.20 and 287,469.60

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Solution

The fourth proportional to 340,346.40, 510,001.20 and 287,469.60 is: 430,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,346.40 : 510,001.20 = 287,469.60 : x
  2. Step 2: Convert to fraction form
    340,346.40/510,001.20 = 287,469.60/x
  3. Step 3: Cross multiply
    340,346.40x = 510,001.20 × 287,469.60
  4. Step 4: Simplify right side
    340,346.40x = 146,609,840,963.52
  5. Step 5: Solve for x
    x = 146,609,840,963.52/340,346.40
  6. Step 6: Final answer
    x = 430,766.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.