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Finding the Fourth Proportional to 413,982.60, 620,973.90 and 413,982.60

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Solution

The fourth proportional to 413,982.60, 620,973.90 and 413,982.60 is: 620,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,982.60 : 620,973.90 = 413,982.60 : x
  2. Step 2: Convert to fraction form
    413,982.60/620,973.90 = 413,982.60/x
  3. Step 3: Cross multiply
    413,982.60x = 620,973.90 × 413,982.60
  4. Step 4: Simplify right side
    413,982.60x = 257,072,389,654.14
  5. Step 5: Solve for x
    x = 257,072,389,654.14/413,982.60
  6. Step 6: Final answer
    x = 620,973.90

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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.