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Finding the Fourth Proportional to 654,722.50, 982,125.27 and 205,461.08

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Solution

The fourth proportional to 654,722.50, 982,125.27 and 205,461.08 is: 308,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,722.50 : 982,125.27 = 205,461.08 : x
  2. Step 2: Convert to fraction form
    654,722.50/982,125.27 = 205,461.08/x
  3. Step 3: Cross multiply
    654,722.50x = 982,125.27 × 205,461.08
  4. Step 4: Simplify right side
    654,722.50x = 201,788,517,642.19
  5. Step 5: Solve for x
    x = 201,788,517,642.19/654,722.50
  6. Step 6: Final answer
    x = 308,204.65

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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.