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Finding the Fourth Proportional to 339,941.60, 509,912.40 and 318,946.40

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Solution

The fourth proportional to 339,941.60, 509,912.40 and 318,946.40 is: 478,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,941.60 : 509,912.40 = 318,946.40 : x
  2. Step 2: Convert to fraction form
    339,941.60/509,912.40 = 318,946.40/x
  3. Step 3: Cross multiply
    339,941.60x = 509,912.40 × 318,946.40
  4. Step 4: Simplify right side
    339,941.60x = 162,634,724,295.36
  5. Step 5: Solve for x
    x = 162,634,724,295.36/339,941.60
  6. Step 6: Final answer
    x = 478,419.60

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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.