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Finding the Fourth Proportional to 521,685.30, 782,564.40 and 206,101.20

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Solution

The fourth proportional to 521,685.30, 782,564.40 and 206,101.20 is: 309,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,685.30 : 782,564.40 = 206,101.20 : x
  2. Step 2: Convert to fraction form
    521,685.30/782,564.40 = 206,101.20/x
  3. Step 3: Cross multiply
    521,685.30x = 782,564.40 × 206,101.20
  4. Step 4: Simplify right side
    521,685.30x = 161,287,461,917.28
  5. Step 5: Solve for x
    x = 161,287,461,917.28/521,685.30
  6. Step 6: Final answer
    x = 309,166.20

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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.